FWIW, I dislike these because commonly the “Enterprise” features are actually useful for communities, big and small. These terms are meant to suggest to companies-with-budgets that the “Community Edition” is the wrong option for them. But typically the question of whether the Enterprise features are relevant to communities is ignored.
I really wish the simple term “open core” would get widespread acceptance and be used for all these cases. It is clear what it it means. There’s something open, it is the core, not just open around the edges (like in cases where there’s an Open Source client but proprietary main software). And “open core” makes it clear that there’s something else besides the core which isn’t open.