Orders of magnitude? Are you arguing that the only thing standing between the best 2nd grade teacher in Harlem and millions is an efficient means of measuring talent?
Major League Baseball is certainly not a market economy like any other - it is a federally-protected monopoly, or American Institution if you like.
If we could the quality of teachers with the precision that we measure baseball players, then yes, the best teachers could make millions teaching the children of the super-rich. Additionally, colleges would pay a premium to have the top teachers if they were measured by a universally acknowledged standard. You have to remember that there would only be a few hundred of them.
I also expect that if you could educate a child with the best teachers, you would reliably get very effective adults.
History is littered with geniuses whose students went on to make groundbreaking discoveries as well.
Major League Baseball is certainly not a market economy like any other - it is a federally-protected monopoly, or American Institution if you like.