I can't recall ever agreeing with any movie review from a place like the NYT.
Your taste in cinema must be pretty out there then because reviewers like NYT give widely popular movies good reviews all the time.
My big problem with fan reviews are two things. The first is the modern political stuff, I don't care what busy bodies think of a movie on either side of the political spectrum. Review bombing is a big problem with fan reviews.
The other problem I have with fan reviews is for more niche productions they can't be trusted because niche productions tend to overwhelmingly attract enthusiasts of said niche as opposed to a proper sampling of the general public. This makes the fans reviews largely useless for those with more mainstream tastes as the really big enthusiasts in a genre or other categorization of movies will give almost anything a good score within the context they're excited about
For that last one what I think of the most is anime reviews. Most fan reviews of anime are done by hardcore anime fans (outside of the rare, really big production). I am not one of those though so their reviews are useless to me as in my ample experience hardcore anime fans don't give great advice on what anime to watch to those of us who only enjoy a very small percent of this genre.
I get that; however, why would I care about a reviewer of a movie that *isn't* a fan? For instance, I am a fan of science fiction and superhero movies. I don't much care if the general public would like it or not; I want to know what the fans think. If, for instance, a new Star Trek movie is getting poor reviews from critics, yet good reviews from most who watched it? I can safely say that I will at least be entertained.
I remember back in the day, when a critic for TV Guide wrote an article reviewing Star Trek: Voyager. In the article he had complained about the "wooden and emotionless" portrayal of Tuvok. Lost all credibility right then and there.