I think you are confusing two very different things.
Criticizing Ebay for banning particular books, or AWS for dropping Parlor, or Twitter for banning various conservatives is not in contradiction with the libertarian/conservative idea that private entities should have the freedom to manage their business as they see fit.
Arguing for limited government oversight/power in these situations is orthogonal to criticizing the decisions on their own merits.
And for what it is worth the capitol rioters have been widely condemned by libertarians and conservatives.
Edit: Am I incorrect?
Perhaps his thing is he just wants to criticize everyone and get away with it and if that's the case then I don't get what he stands for. Might be how I feel about conservatism in general which increasingly seems to be just anti-everything that would impose rules on the wealthy.