The 60FPS thing is just an API which developers can use in their apps. Seems Apple hasn't added the option to toggle 60FPS recording in their default Camera.app.
60 FPS recording is an old feature which I've seen before now in apps. I remember Apple removed the feature at some point (no idea why, perhaps these apps were using a hacky method to achieve 60 FPS), but have now re-added it in iOS 7.