Um, personally I think a film does look like that. I think having watched stories on "film" at 24/25fps and news/reality on "video" at 50/60fps our brains are conditioned to see 25fps as a story, and 50fps as realism. Maybe it's just me, but I know if I present a drone video at 25fps people say it looks "cinematic" but the same video at 50fps just looks like video. Weird.
They avoid making those sort of camera moves in cinema film, for exactly that reason.
If you watch a film with a lot of camera movement (e.g. the opening sequence of the Bond film Quantum of Solace) I find the frame rate really offputting.
Of course occasionally films are now made at 48hz for digital projection - e.g. the Hobbit films. Lots of people hated that because it looked too "fake" or "real".
Maybe we have different refresh rates LOL! Specifically what I mean is if I pan at moderate speed with a DSLR or video camera at 1080p/25fps it's noticeably jerky - I just don't see that in the cinema...?
I guess the other issue here is the best frame rate also depends on the device you're watching the footage on, which is of course variable.