US liberal (which means progressive, social liberal)
False. The US dominant form of liberalism is Neoliberalism. It's the ideology of the leadership and donor base of the major party that isn't outright fascist, it's the dominant philosophy of the media, and it's the default state of government institutions.
Has been since 1980 if not sooner.
Whereas Charlie Kirk, at 18 years old, founded Turning Point USA in 2012, a student movement with the mission to “identify, educate, train, and organize students to promote the principles of fiscal responsibility, **free markets** *[emphasis added]*, and limited government”; \
That is the proper definition of neoliberal.
Nope, that's a fascist masquerading as a right-libertarian aka an anarcho-capitalist.
Social liberalism, however, favors a social market economy.
You're thinking of social democrats, a center left ideology that's to the left of Neoliberalism and to the right of socialism. It's basically what almost all American politicians who call themselves democratic socialists (yes, including Bernie Sanders) actually are.
Free isn't social: they're mutually exclusive.
That's a misapprehension based on conservative gaslighting. You can be free to utilize public land. You can be free to roam wherever you please as long as you're not hurting anyone. You can be free to associate and speak with people in whatever way you want that doesn't unduly harm people.
All of those things, with the possible but not categorical exception of the roaming, are highly social expressions of freedom.
Just because the Republican party has rebranded freedom as "the freedom to do whatever I want with no consequences for me no matter how much others are harmed" doesn't mean that you have to believe it.
Even Supertramp from the UK back in 1979 understood liberal as socially liberating
Well in the UK in 1979, the grandmother of Neoliberalism and wicked witch of the South Margaret Thatcher was known as a conservative. Corporations and the politicians they own had not convinced the UK people that liberty = greed and deregulation like in the US.
the persistent confusion here is bizarre
Well you're right about that, but not about who's confused.