Exactly about. There is no such thing as a socialist Nazi in exactly the same way there is no such thing as a libertarian capitalist.

Conservatives just make, and have made, a deliberate strategy of stealing terminology from the left to trick idiots, and the left lets them do it to not be associated with them.

Reminder that one of the biggest think pieces of libertarianism also created the infamous fourteen words chanted by white supremacists, one other just thought it was a neat idea to capture a term from the left.