This could just be a difference of interpretation of language. Frame rate can mean how often the front buffer is updated (or more accurately, backbuffer switched to front buffer), or how often the game is updated.
For a stable 60 fps you need every frame to be calculated and rendered in under 1/60th of a second, ready in time for the next vertical. So the output fps is 60, and the internal game process is faster than 60 fps. You can thus claim the game runs faster than 60 fps (internal workings) or exactly 60 fps (output) and both be right, just with a different meaning for fps. Which is what I'm getting reading this, but I'm not reading very closely!
For a stable 60 fps you need every frame to be calculated and rendered in under 1/60th of a second, ready in time for the next vertical. So the output fps is 60, and the internal game process is faster than 60 fps. You can thus claim the game runs faster than 60 fps (internal workings) or exactly 60 fps (output) and both be right, just with a different meaning for fps. Which is what I'm getting reading this, but I'm not reading very closely!