I had this same issue with PD 15 and now it seems to have reared its head with PD16 as well.
With my MacMini 2018 if Parallels is running the displays will not shut off after a specified period of inactivity, in my case it is set for 15 minutes in the Energy Saver control panel in MacOS 10.15.6. I had this issue with PD16 and earlier versions of MacOS and eventually reinstalling Parallels Tools fixed it. No such luck now.
I do not use System Sleep, I merely have the displays turn off and then require a password to get back. This had always worked fine until PD15.
With my MacMini 2018 if Parallels is running the displays will not shut off after a specified period of inactivity, in my case it is set for 15 minutes in the Energy Saver control panel in MacOS 10.15.6. I had this issue with PD16 and earlier versions of MacOS and eventually reinstalling Parallels Tools fixed it. No such luck now.
I do not use System Sleep, I merely have the displays turn off and then require a password to get back. This had always worked fine until PD15.