I say yes. It’s one of my favorite genres (if you can call it one) and definitely includes loop-based plots like Groundhog Day and Primer. But I also enjoy the Terminator Series and Back to the Future and others that don’t really loop that way. I suspect most fans are similar. It’s hard to imagine enjoying one premise but not the other.
Also: https://xkcd.com/657/
Sorry, this post was sarcasm, due to the many redundant posts in multiple communities. It was practically the only news in my feed today.