When I give for example Location permission to a website that I am viewing in Private Mode, the permission should only be temporary and not apply to the same website visited in Normal Mode.
When I close tab, the temporary permissions have been forgotten and the website will have to ask for these permissions again.
I think this story needs individual stories for the different kind of permissions that we want to ask.
Here you can see that in Firefox Deskop, the Remember my decision checkbox is not present when this permission is asked in Private Mode:
