My thought would be to stay away from the teachers. Quiz the kid to see where they need help and then teach away with loads of feedback and reinforcement.
I don't know how the hell I'm going to get them to pay for mine. They will pay for me to tutor them, though, so I know there is a way.
I believe you are correct, however, in that things will shift when it is "anonymous" and online. Kind of like selling childrens' toys: the kids have to like it, but the parents have to be willing to pay as well.