Your average, juicy, classic, post game chat where 2 people are going at it - and of course this phrase comes up.
Because one person steps in and says something like "hey let's not call people autistic"
To which there is that reply: "This is the internet. Grow thicker skin or leave."
I don't think people realize that the behaviour of "I should be able to insult all the time, other people need to grow thicker skin" won't cut in the real world for a hot second.
In the end - someone's "thin skin" isn't the problem, it's you being an ass.