AS Annikan said, thumb location influences the #1 PP. However, a long time ago (6 years or so), I tore up my left thumb pretty badly. So I cannot put my left thumb down the top of the shaft anymore. I use a classic 10 finger BB grip, with the left thumb on the right side of the grip. I have round this makes PP 3 and PP4 even more critical in terms of maintaining the right amount of pressure.
Obi WunPutt
As Homer would say..then the shaft sits in the cup of the right hand...
Usually, the only real difference between Right and Left Hand Grip is that the Clubhshaft lies under the heel of the Left Hand but it (or the left thumb) lies in the cup of the Right Hand.