Ok, I will try to play with increment during next 2 weeks.
However, I think top players like Carlsen/Nakamura play with increment in real life because it takes longer to move pieces with real hand instead of mouse.
Look what happened on this video: Alireza has advantage over Carlsen but loses because shaking hands:
But rest of Your respond sounds professional, so I will stick to it. I wish You nice day.