Practically speaking it seems like a terrible idea. I mean, aren't teachers struggling all the time to get parents to pay attention and do things like write notes? I'd send the note to the principle and pull my kid from the school.
All right, it wouldn't take much for me to pull my kids from a school given I've never been able bring myself to send them in the first place.
Since the closest thing my kids have to a teacher is my partner, if I got a note back corrected I would, in fact, kick him in the head.