Will Rolex tell you if a watch has been serviced by them?

[JJK]

Just curious. I recently purchased a mint used Rolex at a large retailer (starts with a "T") know to sell many “certified pre-owned”
During the process I was told several times that they send all of their Rolexes to Rolex for service and that it was serviced in 2016 (vs. doing it themselves) I have their warranty but nothing from Rolex. The watch is fine and I love it. Just wondering if they were blowing smoke to make a sale. I normally wouldn’t buy from these guys but they had what I wanted when I wanted it and they paid more for my trade than I expected. Very close to what I could get on a sales board.
So – If I call Rolex will they verify a service based on a provided SN? I doubt it but I’m curious if anyone has ever called to check service history. the dealer is an AD at some but not all locations. I know most ADs provide RCS service paperwork for pre-owned.
Thanks
JJK