...well DangerM - I know when I (or something else) bump, bruise or subtley cut or break the surface of the fruit when green, it always pushes its fluidic milk through the subtlest break in the skin, and then just dries and hardens over the wound.
I also get little white crystals on the skin, that again may be the milk just coming through for whatever reason, and then drying up.
No, I would not cut them off - not at all. Not unless you see something going in or out of the spot....
Maybe try wiping those "spots" off with a damp rag or sponge - they might just disappear....
Do report back!
Fang