Your warn winch will not really give a crap about much that a cover will address. Repeated lengthy dunkings in silty water will certainly get it's attention, but a cover won't do much about that. During breakup, the nasty road spray can be hard on chrome and paint, but routine powerwashing during the season will address that just fine. Snow/ice crusting the winch in the winter is a non-issue.
So far as the winch is concerned, dirt, mud and silt are irrelevant.
Your winch line is less than happy to be covered in and impregnated with glacial silt. This silt is everywhere around here, even in areas that you might assume have no glacial history in their geography. It is very abrasive and when it is deep in the winch line, between the fibers that are pressing and shifting against each other when loaded, it can really accelerate wear.
But this silt impregnation happens when the winch is in use, so again, a cover will not do much.
In AK, the exposure to UV is much much less a concern than it is at lower latitudes.
A cover will not do much for you here. But... I guess it can't hurt either.
Mark...