Yes,
A trust ownershup means that the next generation of trustees can execute transactions involving the timeshare including sales and rentals. Trusts are a common means of avoiding probate (estate) issues. They have certain restrictions and required behaviors to be legitimate.
Best bet with any estate planning situation is to discuss it with a COMPETANT estate/elder law attorney and/or accountant.
Is stress competant as your cousin who does international contract law may make a bundle and still have little or no experience on this topic. Nor should a podiatrist be consulted for heart surgery, lawyers, like doctors, have specialties. Not an insult on lawyers, but an observation of reality.