I'm not sure if it played out quite like that originally, though I guess there would be some people's parents thinking that way, especially in 2026. Keep in mind, NCLB was bipartisan.
In 2003, though, I read that the reality for a majority of schools is a bit more stupid, they don't understand testing and statistics at the federal level and designed a system of accountability that promoted teach-to-the-test methods, which is mostly memorization. That's because low performing schools (read: poor schools) got punished for not meeting an arbitrary test score, so it was a go to survival tactic.
Conservatives still get their desired result, though, which is an education system with minimal critical thinking practiced. Perhaps it was a poison pill, or something, given it's made Americans by and large even dumber since then (and we were already doing bad for other reasons and Reagan).