Pardon all the questions, I am still studying this wonderful game's manual and forum.
I did some tests in the tutorial (which is all that I know thus far) and I could never get any of the Force's POWER to be affected by Supply Wagons.
I tried all kinds of stuff. I moved Crittendon to Henderson without supply wagons. So there were no Supply Wagons of any kind in or adjacent to him.
I waited a turn or two till his POWER re-stabilized (I guess recovering Cohesion loss from the move). Then I moved about 8 Supply Wagons to him in Henderson, and nothing happened to his POWER.
I tried a couple other tests like this. I could not get any of my Supply Wagon tests to get the POWER to move.
Thank you in advance for input.