Alox never dries, befouls all the internals of your reloading die setup, & is not the lazy mans way, just the unenlightened.
LOL! The above is true if you are unenlightened. Honestly I was, until I figured out that Alox is best used minimally. I used to have to clean the bullet seating dies every few hundred rounds, excdessive Alox causing the bullets to seat deeper and deeper resulting in shorter cartridge OAL, because as you said, the internals were befouled.
As well, Alox gets thick over time. Thinning out with mineral spirits or Varsol, to viscosity of new, 10W - 30 Weight Motor Oil in the summer, will allow a few drops (5 drops +-) of Alox to coat two hundred 124 grn 9mm bullets and reasonably dry and lubed enough to re-size. The trick to distribute thinly and evenly is not to shake, but to roll the bullets/alox in a small margarine tub a couple of dozen times.
The thicker the viscosity, the thicker the coating and the wetter the lube remains, and vice-versa.
After re-sizing, re-coat with another few drops (5 drops +-) and let dry. Anyways, over-aloxing will cause the snot buildup in your dies. As well, over-aloxing with unthinned alox, will leave your bullets sticky.
A little goes a long long way. You will figure out just the right amount by experience. Hardly any lead fouling too.
Anyways, that is if you still want to improve your tumble lubing technique.