I find that the worst counter to being called a snowflake, is calling others a snowflake in return because they simply called you out on trying to silence opinions that aren't your own.

Here we see the GP disappointed that every time he and others bring up salient points, they are silenced by an angry mob. It's a real stretch to call him the snowflake in this situation. Nobody calls people a snowflake for disagreeing, it's the way that traditional snowflakes disagree that people have a problem with.