Caroline Hoxby, who wrote that, voluntarily left her position at Harvard to gain her current position at Stanford. If you haven't heard of her before, you should read more National Bureau of Economic Research working papers.
But what specifically are you disagreeing with in the paragraph you kindly quoted?
I'm balking at the idea that the mean combined SAT of the college a teacher attended is predictive of their teaching quality, both currently and longitudinally.
I'm not saying that it's impossible, but basing an entire paper on this premise without any supporting evidence is completely ridiculous. So far as I've seen there is zero evidence that this is true.
After some Googling, it seems that this measure of teacher quality is attributed to:
But what specifically are you disagreeing with in the paragraph you kindly quoted?