I have a booking here for the first week of July. Currently planning on staying using Points & Cash.
I spoke with a Hyatt rep to see if it would be part of the Privé program and was told that it would be. I also asked if they had a lounge so that I could apply a Lounge Access Certificate. I was told I could but that they weren't able to apply it yet.
While speaking with a travel agent who has Privé access, I was told they get a notice that the Párisi Udvar Hotel is "not participating in the Privé program at this time" when looking into the property.