I actually think if someone has a deep understanding of a classic, they have a good idea who would enjoy it and who wouldn't. For just about everything else, we accept that different people have different tastes, and just because something can be great to one group of people doesn't mean that it's going to be great for another. I can guess which people I know would like a movie like Jaws, and which wouldn't.
If you really understand a piece of media, understand what the author is trying to accomplish, what choices are being made narratively and stylistically, what narrative tradition the author is consciously or unconsciously following, etc., then you should have a pretty good idea of who this work would appeal to and who it wouldn't appeal to.
If someone comes away from a classic with the mindset "everyone should like this if they're smart enough/presented with it in the right way", it suggests they have a very shallow understanding of the classic.
Everyone has their own blinders. And not every movie is for everyone.
Shouldn't really expect that a movie (or a book, or a scroll) from 50 years ago or 5000 miles away is speaking to the modern local audience. The world is diverse and it changes.