Words that people aren't allowed to say, is taking away free speech.
The only entity that has the power to determine what you are “allowed” to say is the government, so if your allegation does not include the government it has nothing to do with free speech.
This isn’t debatable, it’s what free speech means. It’s in the constitution, look it up.
What you’re talking about is public pressure. Public pressure comes from other people whom you share this society with, and who have no more legal authority than you do to tell you their opinions. What you seem to be advocating for is not the right to say whatever you want, it’s the right to say whatever you want without any consequence. That’s absurd.
If we all have freedom of speech then that necessarily includes the right to criticize people who say stupid or insensitive things. We also have the right to speak out against the platforms that amplify such voices, and those platforms have their free speech rights to ban said voices from their platforms as to not alienate the rest of society. That’s what a free market is. That’s what free speech is. If you don’t like it then tough luck, says the rest of us who are exercising our free speech rights to say whatever we want.