Earlier quoted context omitted.
U.S. barely has "hate speech" laws, so I don't know what you're talking about there. "Big tech" decided to ban people for being hateful to others on their platforms. Those platforms don't exist for your protection against government actors. Nor should it.
What you're saying is "a company banning certain forms of speech on its platforms does not constitute censorship", which is true at least in the strict definition of "censorship", but does not contradict what the GP is saying. What the GP is talking about is a shift in American attitudes that leads to the acceptance of such policies, whereas in earlier times they might have been rejected or the companies in question…
People agree with censorship if it's in in agreement with their belief.