It's a little more involved than you described (shocker) but again, a 2011 game should run at 60fps on a next gen console. Many remasters are half ass money-grabs that you can't see any difference (Dishonored for example) but there are exceptions to the rule (Borderlands Collection and The Last of Us).
https://www.youtube.com/watch?v=T6EjcESYIXk