I was hoping so. However, I called the resort today and asked. Foxrun is located in a multi-resort area of Lake Lure. The common recreation facilities are managed by Rumbling Bald Resort on Lake Lure which is not a timeshare itself. Apparently, their contract with Foxrun allows for vacationing guests to use the facilities but there's no provision for owners to visit the area and have day privileges.

So it seems it varies by resort. Thanks for your responses!