No one is trying to diminish the importance of the non-linear aspect! How many times do I have to say that it's just ONE of the key components? And based on calculations using only this one non-linear component, it turns out that in the first tournament, the second-place player performed 17% worse than the leader, in the second, they suddenly forgot how to play and only performed at 2/3 of the leader's level. And in the third, they suddenly drastically improved and almost matched the leader. What an unstable player, suffering from amnesia and flashes of genius at the same time.
But imagine that the leader is always the same player. And the second player is different in each of these tournaments. Why couldn't that be the case? But by taking second places, they are not playing at the same level, which is evident from the daily results! And that's why the places they occupy only introduce distortions :)