A frame is not just the picture arriving to the screen, it’s everything from input processing to game logic to rendering to picture arriving at the screen. What the other commenter was saying is that things like input lag and game logic smoothness should affect player performance as well. In fact, you can isolate for those variables with an unlocked frame rate, where you can get a frame rate in the 250s on a 144Hz monitor, and pros still see an improvement in that case because those hidden subcycles are smoothing out the non-visual calculations.