That’s not what a false dichotomy is. If anything, what you’re depicting it as is an overgeneralization. But the person you’re responding to was literally debunking an overgeneralization. So what you’re saying essentially amounts to “it’s not always overgeneralized!” Which is a moot point, almost self-contradictory. They never implied that it was.

I read their original comment as agreeing with the top comment. You either misunderstood them or I don’t know what you’re trying to do.