But general audience in the arena don't see that, nor we have replays in the arena.
There most certainly are replays in the arena, every competition with a jumbotron shows replays to the audience after the performance.
Your argument in this regard about what the general audience sees is out of place though, as there many things a casual audience member isn't really looking at or having knowledge of. Otherwise why do we have edge calls and such at all, as others posters have wisely noted.
Also, there are qualities of figure skating that people perceive even if they aren't actively looking for it or know what it is. An audience member doesn't know what a counter turn or bracket is, but they do know they are bored by clunky and uninteresting movement. Similarly, people are more excited by powerfully executed jumps. Excessively pre-rotated jumps tend to look worse and people can perceive this, at times, even if they don't know exactly why something is less impactful to them.
I remember many years ago a friend told me she didn't love Sarah Hughes' skating much because "she stuck her butt out on landings". Years later I realized this was because of Hughes' jumps being underrotated; it caused her to have to compensate on the landings by digging into the ice more. Measuring jump rotation isn't something my friend was trying to do in watching skating, but she instinctively could perceive something was "off" about what she was seeing.