You're 100% right and i'm not too sure why I worded it that way.
I guess I meant to say that if a game you're playing for example is reaching 60fps and beyond, that's because your hardware has the power to reach those speeds and if they can reach those speeds and keep them there comfortable, you're not going to be causing any more strain on your system compared to being at 30fps.
So if the ps4 and xbox one can easily reach 60fps and the devs decid to lock it at that, it's not going to cause the game or your console to lag more just because 'fps is a number so there for higher numbers mean more hardware usage' or something.
Hope i'm making more sense, not had much sleep, feel free to correct me if i'm super wrong!