When I took up sax a few years ago, and before I knew of this forum, I gave some thought to the pool of spit in the bow when I finished practice. It does reduce over time, and I believe I'm not alone in that I produced a lot more spit in the bow of the sax in my early/ier days.
When finished with the sax for the day/practice session, I empty the bow and use a shove it, although I don't think that it achieves much being predominantly composed of a fleece like material, then remove the neck, invert it in the tube, and put the stand in front of a small pedestal fan that is pointed at the bell. This forces air through the sax in reverse, and up and out through the inverted neck. Within a short time the inside of the instrument and pads are completely dry.
Some may say the procedure is tedious, but it takes about 30 seconds more than using a shove it just once.
If I'm at a lesson, or been messing around with the guys trying to make music somewhere other than at home, I leave the shove it in and then do the fan thing on my return.
I found the incidence of sticky pads (G# and C# particularly) was eliminated when I started using this method.