/In defense of Ski Patrol here, as a Patroller (not Wildcat)/
Sounds like the mountain management and the Forest Service need to get policies aligned. But in the meantime, the polite thing to do is to ask management (as was described in the OP). If they say "no," then it's "no" for now, at least until the FS can straighten things out.
Ski Patrol has many higher priorites, such as assessing conditions, marking hazards, and treating and transporting injured skiers. They are not going to spend a lot of time communicating a lot of detail about hiker policy; it's way down on the list. For a working Patroller, hiker traffic is basically an annoying distraction. (Imagine an ambulance crew working an accident, and then they see a guy on a bicycle riding the wrong way on a one way street.)
So please don't come down on Patrollers. They're trying to enforce a policy that does not sound like it's well defined, probably has not been well communicated, and is way down on their priority list.
Thanks.
(And, if you do get permission, please keep to the edge of the trails on the way up, watch for skiers and other hazards, and do not go into areas marked "closed" for your safety.)