The harder we push on the bat through the contact zone the greater the pressure felt in the palm of the hand, and therefore the greater that sense of power. The pressure felt is in reality an indicator of the lack of bat head acceleration. If the bat head had truly accelerated the pressure felt in the palm would have been alleviated or at least lessened. With linear mechanics, that sense of power means much of the bat speed is attained after the bat passes the contact zone. If we were practicing our hitting and happened upon the mechanics of a swing that would really accelerate the bat, the pressure felt in the palm as the bat passes through the zone would be much less and it wouldn't feel natural or as powerful.
Linear mechanics gives a batter the illusion of power.
A great hitter experiences the centrifugal pull of a highly accelerated bat head.