Pressure is force/area.
The force a pusher would see, therefore is the pressure muliplied by the area. What's the area of a pusher? What does this tell you?
Also your analogy of jumping into water: The force is you breaking the water surface tension. Nothing to do with the pressure at the surface, which is at atmospheric.
I think pressure rather badly understood. Mainly because to the human senses, it is mainly experienced as force.
These threads remind me of automotive ones, where people claim that their car gets 20% more power at 150mph!