I'm very much in favor of this principle as well. The problem is that legality is often disputed and not even the biggest platforms have the capacity to resolve all those disputes without taking down the content as a first (and often only) step.
it be interesting if the "censors" actually just made them categories you can block. So they categorize it as "Deceptive" or "Toxic Masculinity" or "Pro X" and you can choose to filter or not.