I still don't even
Okay so we have a PS4 and a 4k tv.
The ps4 outputs 1080p, my tv upscales it once to 4k.
Where is this scenario is this 2nd scale happening?
No, for example, PS4's internal resolution of the game is 1080p, just any 1080p PS4 game for example.
The game's internal res is upscaled to the 4K pixel display by the TV, and then downscaled again to the maximum output of the console. Which is why the TV does not register the output of the TV as "4K".
On XBox One S it does, because the console supports 4K output to 4K tv's.
To in short.
PS4 game : 1080p game ---> upscaled to 4K automatically by TV ----> downscaled back down to 1080p by console.
Xbox One S : 1080p game ----> Upscaled to 4K output for 4K TV, no downscale to 1080p output.