Re: have found the perfect guitar for me - tuners don't cut itv-what tuners to get?
Factory tuners for an ASAT Deluxe would be either Sperzel or Schaller, both are excellent tuners.
If you have a new guitar, I would submit a warranty claim.
If you have an older guitar, they may need to be inspected, and perhaps cleaned and re-lubed by the factory or other professional. The Sperzel people are really nice to work with, IME.
If you decide to replace them, it will be simplest to replace with the same brand, Sperzel with Sperzel, etc. The pins will be the same, for both standard and lockers, so you won't need to redrill.
There are specific techniques for stringing split-post tuners, as there are for locking tuners. Be sure your wraps are correct.
Often tuning issues are mis-dianosed as the tuner, when in reality, it can be the nut causing the problems. Make sure the slots are smooth and not binding. I use Big Bend's Nut Sauce.
Good luck.
Bill