I think the initial discrepancy still stands: Libertarian concept of ownership is not justified. (not according to justice). Economic Inequality can only be maintained using unjustified authority (again justice, not justification!), of course within limits. Libertarians (capital L!) do not strive after a classless society, but Anarchists do.
But quite frankly I don't see any use for either term, with l or L.
The majority on this forum who preach that free market and consider themselves libertarians , with either l , or L , are supporting this idea because they hate the actual system , not because they are supporters of libertarianism. I see it like a trend , let's love this because we hate that.
And a few so called libertarian projects that have popped on this forum make me believe some of them don't have all their brain cells connected.