Public schools are funded by the parents of those children. Are you saying parents have no right to actually see and hear these lessons? No one is talking about filming a bunch of school kids. My guess is that in many states, teachers would resist even having an open mike for parents to hear the lessons.
This is precisely why DeSantis wants surveys done in Florida Universities. It's a way of creating a baseline in understanding how the political/social attitudes of students compare with those of tenured profs or teaching Grad students.
I graduated from a school in the deep south 28 years ago and even there, at that time, we had tenured people who had no problem gutting your grades if you were too outspoken in dissent for opinions they might share in class. Opinions, BTW, that had nothing whatever to do with the class itself.
The idea that doctrines like CRT can be forced onto children at an early age IS an "abomination". Any group or individual that tries to convince children that they are guilty by virtue of their skin color alone, are nothing more than propagandists shilling for the Marxists in DC and that is going to stop in red-state schools.