Too many people are confusing the two. Whenever lemmy.ml or its devs do something stupid, people go “Lemmy is getting worse and worse,” or “I’m leaving Lemmy,” or worse, “I’m leaving for Beehaw.”
If you’re using Beehaw, then you’re using Lemmy. Lemmy is the software these instances run on. If you don’t like lemmy.ml, join another instances that have rules that match your philosophy. Some instance hosts authoritarian or fascist shit? Turn to another Lemmy instance. Lemmy.ml is not even the biggest instance. People who just joined and are unfamiliar with the platform will just think the entire Lemmyverse is run by autocratic admins if we don’t get our terminology right.
There are liberals who use “tankie” to refer to anyone left of socialdemocracy, but not a single time have I seen the term being used that way to define another user on any lemmy instance yet.