I have a Wyndham Pic and I plan to use it for a few more years and do a Quit Claim Deed back. The only way they would know if they did a ownership search by state.
That may not work out like you think it will.
Quit claiming a deed releases your ownership interest in the physical property. It does not release you from your responsibilities to the timeshare system. These are two distinct and separate things.
That's why, for instance, when you "buy" a resale Wyndham contract that is deeded, the first, and quickest thing that happens is the deed gets recorded in the Clerk of the Court's office. Then you go through the (long) process to attach your ownership to "the club". This is the contract you have with Wyndham that attaches your obligation to pay maintenance fees.
Similar things happen when you buy any deeded or non-deeded timeshare. And your legal obligations do not cease to exist when you quit claim your deed.