Does hair ever breakdown? I know I've read about the problems in water treatment where so much human hair needs to be dealt with, and bits of fur are always the last to go on roadkill.
I can tell you that cat fur will tend to wind around the impeller shaft. My cat leaves a trail of fur wafting in the air as he moves and some always finds its way into the tanks. It is sort of a pain to unwind. If anyone ever does try this, I hope they mince the hair first. Maybe electric razors would be a better source than cats or barbershops!