Only students in the advanced classes could attend workshops where you could learn about the magnet high schools anyone could apply for. If I hadn’t been in pre-Algebra, I would not have learned about the International Baccalaureate program that I would later attend and kick ass in.
There has been too little discussion of the actual mechanism by which having a "high performing" math teacher twenty years ago would have had an effect on your later earnings. Math was widely tracked back when Chetty et al were doing their research, getting bumped up or down made a big difference and as noted above, could have many knock-on effects.
In a sense, Chetty's research may have as much to say about tracking as it does testing. We don't know!