Fix'd. Also, no****. If you didn't already have proof, you haven't been paying attention.
Sounds like you could learn something from this thread:
Give a man a fish, feed him for a day. Teach the man to fish, feed him for a lifetime.
Sure, banning the rager for a short period of time fixes the community for that short time, but it will also make the community worse as the unskilled feeder causes more people to rage and get banned. Banning the unskilled feeder fixes the community by never making these people rage at all.