There are objective differences. 24 fps contains less information than 60 fps. Its temporal resolution is 2.5x worse.
Believe me, I can clearly see my own cultural bias. It keeps telling me 24 fps somehow does look okay. But we are not complete automata, we can distinguish between instinctive reactions (acquired tastes) and reality.
And the reality is, the higher the frame rate, the more information is recorded. An intentionally crippled low-framerate movie may serve certain esthetic norms, but that's pretty much all it does.
As far as 24 fps cinema is concerned, thanks to a century of conditioning, we're all pavlovian dogs.