Selling a timeshare, do I keep points

I'm seling a hilton timeshare. It is every other year, even, usage, so next usage would be using 2020 points. I have a reservation in 2019 using the 2018 points. New owner would start paying usage fees in 2019, but I believed the points and reservation for my 2018 points would stay with me. I called HGVC on phone, and they indicated I would not--when the sale occurred, my points reservation would transfer to new owners. Does anyone know a) what he truth is, and b) how I can find anyone at hilton who actually knows?