Mine was wrapped too tightly on the trucked delivery
from the south. Trapped moisture lifted paint
in some places. I'm sure it must have been top-side paint
and not suitable for continuous wet.
If the OP decides to transport the mast
with the boat, wrapping should not be an issue.
In the yard where I started racing
35 years ago all rigs came down in the fall. We stored on a rack (Cleveland) Never any vandalism. Some wrapped their masts & some did not. It was routine for the crew to scrub the mast
and re-grease all pulleys, re-run halyards, inspect everything. Its way easier to clean than the boat.