Although, if the game really utilises 4 cores strongly, then would having hyperthreading available maybe help to avoid background processes from getting in the way? It seems that way to me, but I'm not sure how intelligently Windows handles threading.
I believe the consoles both have 8 cores, so if the game is optimised to use those efficiently (and uses fewer cores inefficiently) it may well do best with at least 4 cores + hyperthreading.
Does anyone know how much load the PS$ and Xbox One OS'es put on their processing cores, and how this relates to the sort of load Windows takes (while playing a game, of course).