If you really want to scramble your noodle, look at the recent spate of state laws placing restrictions on speech and notice the lean of the parties that control those states.
https://www.scotusblog.com/2022/06/court-strikes-down-maines...
Yes, there are higher ideals in play in the first case, but that does not make it a freedom of speech issue, legally or even ethically. Employers can regulate what you say while working for them on their time, and that holds whether the employer is private or public.
I don't think that biology teachers should teach intelligent design, and I don't think that is a free speech violation.
Don’t forget the 1619 Project.
https://www.theatlantic.com/ideas/archive/2019/12/historians...
https://www.nybooks.com/daily/2019/11/19/american-slavery-an...