I think some characters have sexy costumes that fit their character. Tina for example, all those sexy fetish costumes kind of fit for her. The ones I have more of a problem with are the costumes that clash with the character's theme and personality, like for example giving Christie a cheerleader...
Yeah it can be frustrating because sometimes you'll miss a hold that you should have had if there wasn't lag, or you'll drop a big combo. And in heavy lag, it pretty much seems like the faster character always wins lol.
I don't think it's really just DOA, I've actually gotten much worse hatemail on MK9 online at a more frequent rate.
Might be because both their netcodes are bad lol.