Why does my bath faucet drip for a few minutes after it's shut off?
I have an American Standard Cadet 2-handle faucet which does precisely the same thing.  And don't feel lonely, I do the same as you too. lol I bet the final pesky dripping has to do with the associated residual layer of water on the inside of the pipes after the handles are turned off.  Just like an upended ketchup bottle which is empty enough to no longer squirt, but left inverted will eventually cease dripping once gravity has removed the layer of ketchup from the inside surfaces.  I realize this is opinion, however I've pondered the pesky drips while sitting in my tub many, many times over the years.  That's pretty personal experience...