I have never watched a tv show show and thought "You know what this needs? Not better writing, plotting, story arcs, acting, or directing, but more frames per second or a higher resolution".
You may not have noticed it consciously, but I bet your subconscious noticed it. Once I started to notice motion blur in movies I can't stop noticing it. Often times its really hard to tell what is going in a scene with lots of motion. All objects become unrecognizable blurry smears across the screen. Of course it effects the way scenes are filmed - directors take it into account and film things differently than they otherwise might have at higher fps. Avoiding shots with too much movement or camera panning, that might have been very superior.
Conversely, high frame rate stuff "feels" so much more real. It's hard to explain, but if you look at side by side comparisons, the higher frame rate is definitely preferable. The guy who did the tech demo of full motion video on a 1981 PC had some interesting points about this. He did experiments to find the optimal trade off between frame rate and resolution. He found higher framerate with lower resolution was better than the reverse, and had some nice examples of it. PC gamers have known this forever and are obsessive about high frame rates.
Maybe I'm an outlier, but there have definitely been times (long camera movements/rotations in particular) where I thought "jeez, that's a low framerate".
Some movies have it worse than others, and maybe it's my own fault for training myself to look for it with interactive games, but there are definitely times where it stands out as an outdated technical limitation.