I thought that gloves were allowed for material handling (as in loading a greasy part into the lathe or vise). Using while cleaning (only) would be similar. Either way, no way while actually running a machine.
What you are describing is one option, but it might not be enough to prevent people from wearing gloves in the shop.
For example, I bring my own gloves when using CA glue to make pens, but always take them off before using the lathe.
We would need clear signage, and maybe a gruesome video as part of signing off on the tools to drive home the point.
I don’t want to sanitize without gloves, personally.
In classes I’ve taught in Machine shop, gloves allowed as log as machine turned off. Parts can be hot, have burrs on edges, etc. Danger is from rotating equipment.
@BobKarnaugh What do you teach?
Gloves are allowed while performing maintenance. Honestly nobody should be cleaning a coolant trap without gloves.
I teach the same, material handling and cleaning only; nothing with energized equipment permitted.
nobody cleans the coolant trap anyway. Is this why?