Eh, tbh I haven’t watched the video but without going to far into the polsci stuff, libsoc covers numerous schools of thought inc, council communism, municipalism, communalism all of which have numerous thinkers attached to them but confusingly very few of them would probably refer to themselves as a specifically libertarian socialist.
I do kind of agree that it could just be described as socialism particularly in line with Critique of the Gotha Program or something like that but, on the same note given how controversial that was I can also see why people might want to insist on it as a separate school of thought.
*skipped through it, yeah I think it’s mostly this that he’s referring to.