For Control, it’s actually a mod made by one of the devs who added native HDR. Kind of a weird situation where a person who worked on the game made it but it’s not an official patch. Maybe that’s why you thought it should work. Don’t know if the mod can be installed on deck but here it is:
https://community.pcgamingwiki.com/files/file/2581-control-hdrultrawidedlssrt-patch/
I don’t get it either, but some people have the money to burn and like collecting these things. I buy things for their usefulness, usually. Having three expensive things that do basically the same thing doesn’t make sense to me, but it’s his money so…