I had to observe for a few moments because I didn't understand why he was doing this. Thoughts crossed my mind like, "did he run out of drying towels"? I gave up guessing and just politely asked, "why are you using coffee filters to dry the glasses"?
He said they use coffee filters to remove water spots and to achieve a lint-free shine. Wow! Makes sense right? Paper coffee filters are essentially a lint-free crepe. They're usually bleached, so there's no color or residue left behind either.
I don't know about you, but I've tried everything in the book to get that spotless, restaurant shine to my glasses. I've achieved close but nothing exact. So I had to try it when I got home. I washed a wine glass, shook off the excess water and dried with a couple filters. Voila!! Perfectly clear and lint-free shine.
Nowadays, I use filters to dry ALL my hand washed glasses. I even use them to touch up spots left from dishwasher. Tip: dampen glass before touch up because it's almost impossible to remove "baked" on water spots left from heat cycle.