Bethesda has released the following statement on PS4 mods today
After months of discussion with Sony, we regret to say that while we have long been ready to offer mod support on PlayStation 4, Sony has informed us they will not approve user mods the way they should work: where users can do anything they want for either Fallout 4 or Skyrim Special Edition.
Like you, we are disappointed by Sony’s decision given the considerable time and effort we have put into this project, and the amount of time our fans have waited for mod support to arrive. We consider this an important initiative and we hope to find other ways user mods can be available for our PlayStation audience. However, until Sony will allow us to offer proper mod support for PS4, that content for Fallout 4 and Skyrim on PlayStation 4 will not be available.
We will provide an update if and when this situation changes.”— Statement
It seems that this is the closed book on PS4 mods for now, the problem being down to Sony wanting to control, or exclude certain content rather than any technical issue.
This also appears to close the book on Skyrim Special edition, and I would not be suprised if this will effect Bethesda's consideration of which formats Fallout 4 VR might appear on.