There are some that won't consistently stay above certain framerates in some circumstances. World of Warcraft for instance performs tangibly better on newer CPU

There are some that won't consistently stay above certain framerates in some circumstances. World of Warcraft for instance performs tangibly better on newer CPUs in settings like 40v40 team fights in battlegrounds for example due to how CPU-bound it is — on a 9600k it'll struggle to stay above 120FPS and occasionally dip below 60FPS.