Absolutely spurious argument. You can have a basic level of respect for other people and not be a snowflake, which frankly like pc and woke are now just de facto derogatory terms thrown about by people to describe a person who challenges their prejudice.
But you're allowed to boo or say something and people are allowed to argue against it. It's how it always worked and still does.
I liked the suggestion that only "leftys" can be snowflakes when the rabid right-wingers are the biggest snowflakes of all. Pure projection.