Eh, I don’t (Edit: corrected) think the big review sites can survive if they get blacklisted by one or a few publishers. It has happened in the past already. There are so many games getting released, that missing one game or even a whole publisher probably doesn’t really affect them. Same for the publishers, they get more eyes on the game, for pretty cheap probably, so it’s also advantageous to them as well.
From what I’ve heard over the years, the marketing departments on both sides know this as well, so most don’t take a bad review personally.
It’s the small, one or two-man channels that are probably more prone to lying about a game. If JohnNintendoFan69 on Youtube manages to get some early copies for upcoming games (or a sponsorship, whatever), they want to ride that wave for as long as possible, if their livelihoods depend on these things.