Please no. That might get them out of your hair (maybe), but then you've just put someone incompetent in a position where they can exercise it even further.
I think people doing this is the direct cause of some head-scratchingly awful middle managers I've had to deal with..
Most middle managers are awful though, because they get no training.
Dilbert's Principle?
If HR can't get rid of an underperforming employee because they're too lazy to do their homework, the company is fucked anyway. At least the dude is out of your hair.