Well, I understand you. In the Meta there are not many appeals. I hope you make a fair decision.
It's not what you think mate... Some good people have been banned and have even never appealed. So the number of people to be handled is actually bigger
Theres not much the mods can do about that until the issues have been raised though. You dont expect them to go through every single ban once in a while to check for false positives do you?