Removing a tuner bushing from a guitar headstock can take a hunk of lacquer with it.
Same applies to those little ferrules on the back of your Tele, or those big ferrules on the back of your bass. Or anything else that has little or big ferrules or bushings. The lacquer can adhere to the bushing and when you remove it some of the lacquer comes too. Grrrr!
The trick is to get the lacquer to let go.
Do that by heating the bushing. Just hold a soldering iron against it. You don't want it to be red hot or anything, but a bit of heat evenly through the bushing will soften the lacquer under it. This makes it a safer job to remove the bushing.
Out and safe.
Good for installing too
By the way, this also works when you're installing new bushings or ferrules. Heating them as they're pressed in can soften the finish and help prevent is chipping as the new hardware is forced in.