@Roger802
It seems to me you do not have to lie, but it is all somehow complicated with all these entities involved (The time share manager (the host ?), the owner, a frontdesk)
BTW
"If you would like to extend your existing reservation for any reason, a separate reservation must be made to add onto your existing reservation and would still be a 2 night minimum."
This is not the common procedure on Airbnb to extend a reservation. The common procedure is to sent a change request on the current reservation.