Well I'll put in my opinion since I am a long time metal fan, player, etc. To start with your meter on the bass drums is great, almost too good and that's why people are accusing you of being a robot. You have a lot of compression on those BDs and I would consider going with slightly less so you get a bit more resonance. You can still cut through the 'wall of sound' of the guitars if you leave enough attack.
The toms sound great, I wouldn't change those other than to make them a little more prominent (loud) in the mix. The Wuhan (sounds like a Wuhan anyway, which I love) you are using is fine but could use more sustained resonance and prominence also. Not sure how to accomplish this but if you have one around with rivets it might help, and mic placement is a big factor. In any event you are right, the trashy sound is hot for metalcore.
Okay, the snare: I would loosen the strainer a wee bit, then try to get rid of some of the ring, either with the damper or with the mixer. What I would want is a slightly rich, deep tone with sharp attack. This is my opinion however - you might like the twangy ring.
Look forward to the revised recording.