I don't even move the screen. I have one stem about 5 years old, original screen. Never moved it except to adjust the depth. I scrap out the AVB with the enano tool, blow out what's left, and drop it in a jar of 92% ISO for about 20 seconds, rinse it with hot water and blow the water out. Other than topping off the ISO in the jar, it is the same ISO for 5 years. If I had used Everclear, I'd have a pretty good tincture by now. I think as long you stay on top of it and clean the stem every 4 or 5 uses, you'll never need to do anything else.As a rule I never remove the screens from the stem either, I just push them to the end of the stem, so I can give them a good scrubbing.
I've seen a number of posters who say they dislike the stems because they're so hard to clean. They apparently remove the screen AND the silicon ring each time. Just don't. It tears up the screen and the silicon. A brief ISO immersion won't hurt anything, at least in 5 years. Just get a new stem if a decade of cleaning impacts it.