In the instances I've seen, trans-dimensional snatching is more along the lines of "random character that should by no means belong where it is is nonetheless forced there by unknown means". Usually, this results in or is a symptom of a full crossover, but sometimes it's only just random characters appearing where they don't belong, just to please the writer and with little to no mention of what will happen the rest of their world in the absence of its protagonist, which is trans-dimensional snatching at its core.
I remember one mission where the agents charged for trans-dimensional snatching by having a brief mention of the Left 4 Dead characters in a sci-fi universe(I think it might have been Star Wars). It was an unconnected continuum, in a different genre, and the snatched characters were never heard from again outside that scene. Textbook, really.

I think the distinction isn't so much whether World One is the starting point or the ending point, but rather the method. Trans-dimensional hopping is usually a "this is the only way it's going to work" story crutch, since otherwise the Mary Sue wouldn't be able to have knowledge of pizza-making and popular boy bands(not that it stops them), which would cripple the writing style of most Suethors. Trans-dimensional snatching is more a "Wouldn't it be cool if she was here, too?" scenario without the forethought or logical reactions and causes for the transit that would make the appearance of that character halfway plausible.

In that specific badfic, however, I don't know if it would be trans-dimensional anything. It would be stupid, undoubtedly, but since The Big Bang Theory exists in a world so close to World One that Will Wheaton and Steve Wozniak not only exist, but appear as themselves in episodes of the show, it's not out of the question to have Jennifer Lawrence exist.
It's not as though they were saying that her character Katniss Everdeen exists in the The Big Bang Theory continuum, and made her Penny's cousin, without any of the Hunger Games universe present in anything more than throwaway dialogue. That would definitely be snatching, assuming it doesn't expand from there and turn into a crossover.

Giving World One actresses implausible relationships to canon characters is a charge, though, and a major one at that, so I'm not saying drop the idea. Far from it; I'm actually interested to see how a sitcom universe would be PPCed.

I am not surprised that something that completely off the wall crazy (insane? stupid?) came from the Circle. What. The. Actual. Fudge.

(Notice my creative substitutions.)

I'd say it's outside the PPC's jurisdiction, because it involves a real person. So it's RPF, in a way.

I think that misspellings in a canon have the potential to create minis. Actually recovering them might be a bit tricky, although I can see two ways of that happening:

1) If agents have noticed typos in the canon, and get sent on a mission into that continuum, then after they've dealt with the Sue (or whatever) and the canon has reasserted itself, they could use their RA to try and get to the right point in the source story to recover the mini.

2) It could just be that PPC HQ is unstable enough that simply reading the misspelled canon would cause a mini to spontaneously form next to the agent reading it (similar to how weird stuff always appears at the Unseen University in Discworld, because it's the least stable point of reality). I've actually got a half-written scene that I've had for a little while where that happens, ready to use as part of a future Mission/Interlude if I feel like it.

I too have found the occasional typo in canons before, and they seem to be more common in slightly obscure sci-fi - I guess the publishing houses that deal with kind of stuff are just smaller and less well equipped? It's not just limited to sci-fi though, I'm pretty sure that in some of the earlier books in the Wheel of Time series, I've seen saidin and saidar (the male and female halves of the main magic system) get mixed up.

I've seen plenty of typos in books, though most of them are the non-mini-creating sort.

I've always seen a mini's intelligence being based on how many times its name would likely be used. For minis of rare or ridiculous misspellings like Caprtsin Jqck Sprow or Asrogron, they would be practically feral. For more easily understood misspellings like James Kurk, they would be intelligent and possibly fully sapient, but still not really reconcilable as intelligent beings to most people. For minis in published works, since their name has spread through the world regardless of the potency of the misspelling that created them, they would gain a large amount of intelligence, as well as a desire to lord their status over the other minis. An "alpha complex", if you will. Whether the other minis actually would submit to the publishing error depends on the species, of course.

I briefly toyed with the idea of having my agents meet the mini-Rayquaza "Pokemon", who is not only printed in a multitude of websites and official works, but has absorbed enough knowledge, largely through cultural osmosis, to be a genius by human standards, even gaining the power of full speech in three languages. All played for laughs, of course, especially since he'd be more eloquent than one of my agents would. I might still do it, since the Pokémon mission I planned is far enough in the future for me to regain the element of surprise.

Hmm, the "Kublai Khan" misspelling makes me wonder what a Coleridge mini would be. Mini-Honeydews, maybe. He did mention that a lot, and I don't think we have any minis that take the form of fruit.

Well, if Suethors are able to create mini-Sues, then I don't see why canon authors shouldn't be able to create minis as well. And since minis' forms are dictated by their canon, then Iluvatar (no accent) is a mini-Balrog, whether created by Tolkien or a Suethor.

However, IMO, I think that that question is purely academic: since PPC agents find minis in the Word Worlds in which said minis are created, and PPC agents cannot go into the Canon World, I find it implausible that an agent would be able to spot such a mini in the first place.

It's not a lot different from running a phrase through Google Translate into Greek, and posting that into a story as a Greek phrase. It's probably going to be wrong, because it's Google Translate, but you aren't going to get a bunch of mini-Thetas running up at you for it. A misspelling of a canonical language is the same thing.

Like Neshomeh said, minis are more for proper nouns than anything. I may be misrecalling the chronology here, but I remember reading several of the first missions to "spawn" minis in-story, and they even had the minis act out the parts of the story assigned to their misspelling. Since the Word World couldn't actually use a character named "Asrogron", if a story had Legolas "talk to Asrogron", it would have Legolas talk to a mini-Balrog that spawned nearby, while Aragorn would stand in the background as the mini aped his lines until his properly spelled name was mentioned again. It was a fun idea, and I've occasionally wondered why people stopped doing it.

If it was just a misspelling in spoken language, it would be more comparable to someone asking to purchase something at a store and instead telling the clerk what sort of fish were inhabiting your hovercraft than to referring to a person or place that was never there.

As far as I know, not all misspellings make minis, just ones of people and place names. As the Philosopher wrote, "For every name spelled wrong in Rings, a mini-Balrog gets its wings."

If it was any misspelling, we'd all be up to our eyeballs in minis before we knew it!

~Neshomeh

I can't seem to find anything on the wiki (but I am bad at searching wikis), and if I've read a mission dealing with it, I've clearly forgotten it all, so...

In the mission I just posted about a second ago (sorta) my Agents noted that the Sue misspelt "Perian" into "Berien", creating a hobbit-sized pile of berries.

But Perian is supposed to be a noun; prestar aen is a verb. So yeah.

At the very least, I've asked worse.