From the way he said "the trojan war", rather than "a war in troy", I'd assumed the war had already started, and Odysseus had been caught draft dodging.

But you're right, Mr Angry could be Agamemnon doing his initial recruiting at the start of the war. And of course, the strip does use several important elements from the Iliad, such as the lack of a Cyclops, the lack of Circe, the lack of Scylla and Charybdis, etc.
:)

BTW has there ever been an Odyssey Suefic? I hate to imagine what that would be like!