Remember that power flows from the accumulators and is "exerted against something (pressure points) that will directly or indirectly drive the Clubhead through impact."
No pressure, no highway for transfer, no power!
I also think you have your pressure points confused. They are:
1) heel of right hand where it touches left hand thumb/clubshaft
2) last three fingers of the left hand
3) joint of your right index finger
4) wherever the straighte left arm contacts the left side.
Edit: Not sure I answered the original question
There is no order, but you have little chance to monitor the clubshaft, the clubhead and clubface without utilizing
all the pressure points efficiently.