Good teachers with autonomy get better results than good teachers without autonomy, but bad teachers with autonomy get worse results than without autonomy.

I ran into the bad teacher with Autonomy.

Singled me out because I liked math and she was an English and Spanish teacher.

I had never gotten a C before, but that teacher in a panic admitted that "I wasn't good at her class like I am at math". In reality she was targeting me for some reason and giving me minimal participation credit despite participation.

By the end of the class, enough students complained she stopped teaching Spanish 1. And she still teaches to this day 11years later.

It is impossible for teacher "to wait or push as needed" without having enough autonomy.

If you give teachers no autonomy, you will turn teachers who want to wait or push based on situation to the ones who don't. Or they will simply leave.

Just like with any other job, you either command details or you have people doing own decisions. Cant have both.

Like most decisions in education, it's the question of what you want to optimize for, minimum, average, or maximum success. That dictates whether you want to separate smart pupils from average pupils, how big your classes should be, how much memorization you require, how much autonomy teachers should have, and many more aspects. The PISA studies provide really interesting data on this.