The commenter above imo didn't mean to talk about self-id when they said or implied something like "most (dem) voters are progressive." They imo meant progressive policies are broadly popular.
Well then if they meant something different than what they said, they should have said something different in the first place. A majority of Democrats are moderates, full stop. The popularity of progressive policies is irrelevant.
Well would you look at that. It's not self identification:
Pew Research Center’s new political typology provides a road map to today’s fractured political landscape. It segments the public into nine distinct groups, based on an analysis of their attitudes and values.
It's identity based on attitudes and values.
I repeat, the popularity of progressive policies has nothing to do with this conversation. Move along.