Regarding the 21.6K v. 28.8K debate, it really comes down to what you value more: theoretical increase in stability of timekeeping against gravitational forces or theoretical increase in durability and longevity. I value the latter over the former. If I could design my own dream watch I'd have it beat at 21.6K or maybe even 19.8K. Just my personal preference.
Aesthetically, I actually prefer slower-beat movements. I think this is just nostalgia for being able to better see the "tick-tock" of the escapement that people associate with mechanical timepieces. I had an 80's Rolex 5513 which beats at 19.8K and that seconds hand was just a pleasure to watch.
FWIW, between my Nomos Ahoi (21.6), Tudor Pelagos (28.8), and Tudor 79090 (28.8), the Nomos is the most accurate. Not sure which one is more stable, which is where beat rate comes in, but I haven't noticed a difference between the three (btw, these watches consistently run +1, +3, and -3 per day, respectively).