In a proper tragedy, you’re supposed to like the tragic figure even more than in a comedy. That’s the point; you can’t have catharsis if you don’t give a damn about the character.
I agree with a comment by Maturin in one of O’Brian’s novels: I think the Iliad is really about the come-uppance of adultery more than than anything else. It wasn’t Paris’ fault he got roped into the original apple competition, but his behavior afterwards was despicable.
Anyhow, getting back to the other Greek “heroes”, I couldn’t care less about pompous self-enamored Achilles, and Agamemnon’s virtues are mixed, to say the least. On the whole Greek side, only Diomedes seems to be a stand-up guy. Both Ajaxes are scumbags, Menelaus is a fool, Agamemnon isn’t that bad I guess, but he’s not very kingly and he later gets properly killed off, and in the Iliad Odysseus, while at least not an idiot, is way too sly to be heroic. He’s literally a backstabber according to some stories, too. In comparison, Hector, who could be a decent villain if he was facing more virtuous heroes, seems much more sympathetic, as do most of the other Trojans. Of course Paris is the worst of all the characters, but that depiction was intentional.