Re: To store halyards or leave on mast?
A half way measure might be to attach messengers to the halyards, 'sky' them up to the masthead/top sheaves, and put the tails into bags for the winter. Some do that here... even though the boats stay afloat in many cases the usage drops dramatically.
This is most effective with internal halyards, of course, but could be done mast down or still standing (with mast down you won't need the haulback lines)
1984 Fast/Nicholson 345 "FastForward"
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)