The people who want to kill free speech in order to avoid some minor discomfort see these arguments as some kind of trump card. "Do you really want free speech even when it's you that someone is saying something mean to?"
Yes I do.
I'm a Jew and I support the right to hold Klan rallies and Nazi marches. I support throwing them in prison if they threaten assault or assault anybody but I support their right to say anything they want up to that point.
I support free speech. Specifically in the cases when it's someone else saying something I don't like because that is literally what free speech means.