Anyone can be a special snowflake, but they are more likely to be lefties.
I don't really consider those people to be real left-wingers anyway. That probably says more about me being stuck in the past though.
I thought the term snowflake defines those who've come into adulthood in the last decade or so and are tempermentally unsuited to the difficulties of adult life having been brought up in the "me" generation.
Left wingers these days tend to be old farts like Corbyn