I personally am waiting for a very steep sale on a VR2 because 550 USD is crazy for a piece of plastic and some electronics that get strapped to your head
Yes it does and to be honest unless you have it on your SSD. The only difference between the two is the fact that the PS five version comes with the DLC.
I believe when your disc is in the system, you click the three dots next to play game and then it should say full-time edition - upgrade if it doesn’t it means that it’s bugged out and is automatically updated for the disk version. Probably just does not have the PS five badge.