There’s been a negative response from executives of major media outlets, which aren’t really lefty at the corporate level. I’m sure that’s reflected in other centrist institutions. Whether they have the will to fight back effectively is another matter, but we might be surprised.
But in the end, as Kovalev describes here and as Masha Gessen and Adam Curtis have discussed elsewhere, this stuff is purpose-designed to slide right off of right-wing autocrats. That would be true even if he wasn’t an accomplished confidence artist and even if 20% of the electorate didn’t happily embrace this BS.