yeah, i don't know if they count, but i sure as hell love them. I think they are a lot more post hardcore. Way more melodic and less chuggy than most hardcore, and they use an ATDI-ish start stop angular style of writing.
I listen to some 'traditional' (everyone has a different definition it seems) hardcore, but mostly its oRABhoots/subgenres post-hardcore, metalcore, grindcore, et al.
Horse the Band sucks ass live, their music is average at best and when they play a live show they say the dumbest shit onstage and try to be funny but what you really want is for them to shut the fuck up and play.