Ive started to notice my Ibanez is going out of tune on the high e string. For example, if I play a natural harmonic at the 24th fret, the fretted note at the 24th fret is sharper in pitch.
So as I go up the neck, the note gets sharper in pitch than it should.

So when I go to intonate my guitar, would I move the saddle closer to the neck, or farther away from the neck? And how sensitive is it? Should a few mm do the trick?
You want to test it from the 12th preferrably.

But you move it one way, if it worsens it, move it another.
It's not very sensitive for me. For my guitar I have to turn the screwdriver multiple times. I also have an ibanez.