In fact, his arguments against nonlocality were later disproven experimentally in the '80s, as quantum mechanics allowed for much higher fidelity predictions than could be explained by a hidden variable theory [0].
I don't think anyone _likes_ the Copenhagen interpretation per se, it's just the least objectionable choice (if you have to make one at all). Many-worlds sounds cool and all until you realize that it's essentially impossible to verify experimentally, and at that point you're discussing philosophy and what-if more than physics.
Intuition only gets you as far as the accuracy of your mental model. Is it intuitive that the volume enclosed by the unit hypersphere approaches zero [1] as its dimensions go to infinity? Or that photons have momentum, but no mass? Or you can draw higher-dimension Venn diagrams with sectors that have negative area? If these all make intuitive sense to you, I'm jealous that your intuition extends further than mine.