Why is there a ranking of different yeshivos? It should be about which one is the best fit for each person. They’re not one size fits all.
I had heard also that RAY was considered “better” than R’ Dovid. A friend told me he was going to R’ Dovid’s yeshiva, and I jokingly said, “You couldn’t get into RAY?” He replied, “Why should I learn by a grandson of the Brisker Rav when I can learn by his son?”
One of my Rabbeim from Darchei had an extremely low opinion of RAY. He used to refer to him as AJ. Someone once asked him what the issue was, and he replied, “My mother taught me, if you have nothing nice to say, don’t say anything at all.” The boy asked, “Rebbe, there’s nothing good to say?” The Rebbe replied, “His father was a big talmud chacham.”
There was a story told when I was in yeshiva about RAY. Supposedly he strongly disagreed with a psak that R’ Moshe Feinstein had given, and wasn’t shy about saying so. Once, in shiur, he was talking about it, and he yelled out, “ah Feinstein hut gemacht a churban in America!”
R’ Elya Svei’s son (I believe that’s who it was) was in the shiur. He stood up and yelled back, “I heard it was a Soloveitchik!” Then he walked out of the room.