Cindy - It is not the same as a deedback from a living person. IF the BOD refuses the inheritance, and so do the other heirs, then that puts the BOD in the position of having to pay money to turn around and reclaim it, which doesn't make any sense. An effective BOD will realize it is cheaper and cleaner to accept the inheritance, than to let it go back to the heirs who will refuse it, and then it will be more expensive for them to take it back so it can be resold.
Of course I consider this a last resort. The ideal solution is for the owner to dispose of unwanted timeshares legally and ethically, before they die...
It is exactly the same as a deedback from a living person...If a poa refuses it either before or after I die, they will have expenses, ...And I come to the same conclusion as you...it dosent make sense