As for Fiddler on the Roof, I thought you were talking about the movie. Sorry if I misunderstood. I read a lot of Shalom Aleichem as a kid, but I don’t think I ever read this, so I can’t really comment.
Is it the movie or the book that people criticize? I would have thought it’s the movie. I didn’t think there were too many Frum people who were familiar with the book. I don’t think I ever even heard anyone mention it until now (besides my family).