Anyone for whom the rectification of names is important enough ought to feel free to immigrate to continental europe, where we have plenty of parties with "Liberal" in their names whose platform is economic freedom and hence are normally found on the centre-right.
Quite the opposite. Bringing up terminology is a classic technique for derailing conversations. Instead of arguing about the merit of the proposition, you hint that you'd agree with the proposition if only they'd use different terminology. Which, of course, never happens.
It would have been ‘very liberal’ of Scrooge to give Cratchit some extra days off at Christmas, in the American vernacular at that time.
https://en.wikipedia.org/wiki/Liberal,_Kansas