The work on Progresa of her advisers had random assignment in it (and it was published in AER). Her work has just crazy assumptions. I repeat: nice idea, but it's not cutting edge labor economics, and it will not pass the bar. Let's see in two years. where that paper ended up.
Yes, I agree that experiments can be interesting for structural work. But Tincani was studying general equilibrium effects. We know that if one school increases its pay, it can steal good teachers from other schools. But what if an entire public school system increases its pay! Can it attract talent from other industries? This is a very important question, and I don't see how a Progress experiment, or anything like it, would help answer it.
The supply curve is upward sloping, why do we need to empirically confirm this for every market possible?
I mean, it would be nice to know why the shower curtain sticks to you while showering but we don't see physicists publishing an answer to that in Science.