At the root of this whole issue is a person telling another person that they are saying something that offends them.
In any other context, the normal response would be, “Oh, sorry, I didn’t mean to offend you.”
But, when it’s race (although we sometimes see the same response around non-binary gender), the response shifts to, “It is my right to offend you.”
So I always ask people with these views if they also deliberately insult people on other grounds, or only racial ones. I think it highlights the racist focus of their rudeness.