I wouldn't say either is a crisp 60fps. The digital foundry video showed both versions dipping frequently. The PS4 looked like it had slightly better performance here too, but I doubt anyone can tell the difference between 45 and 40 FPS. At least neither seemed to go under 30.
Digital Foundry also admitted to faulty recording, so yeah.
ETA: To clarify, JackFrags is saying the PS4 multiplayer looks better than the Xbox One single player. That sounds really weird.
This post was edited on 10/29 at 9:04 am