Hilton has never given stay credits on Priceline stays, AFAIK. However, I used to get points/miles on incidentals.
On my last two Priceline stays at Hilton branded properties, Hilton refused to attach my HHonors number to my statement AT ALL. I inquired politely about this several times, both through the HHonors phone number and at check in. I was consistently told that they cannot put an HHonors number on a Priceline stay, period. I specifically told them I was only asking if I could earn points on incidentals while on a Priceline stay... I was told "no."
When I gave my Gold HHonors card to the desk clerk, both times they handed it right back to me and told me it didn't cut any ice on a Priceline stay.
Can't really complain, considering the price paid.
Just for comparison, Starwood has been giving me stay credit and points for incidentals -- and honoring my SPG status -- on Priceline stays.