I would definitely see this. I mean, can you imagine Sherlock sitting in a classroom? No, he would get bored and tell the teachers they were wrong. Eventually he'd tire of it and just not show up. << Headcanon accepted.
Sherlock Head Canon - I'd like to believe Mrs. Hudson being a busy body decided to mess with Sherlock and take care of him. He'd never admit to wanting it let alone needing it so instead he dealt with her husband. If the American and choosing to fake his death is any example I doubt there are limits to how far he'd go for her. He adopted her as his Mum. <3