I just flushed my power steering fluid, but what I did seems simpler...What do you think?

I got the front wheels off the ground and disconnected the low pressure hose. It leaked a bit of fluid of of the reservoir before I could catch it. I put a pinky finger from a nitrile glove with a zip tie around it to stop the flow.

then I simply turned the wheel and added fluid. it quickly filled up a gallon jug that I had in the washer fluid res. area with the hose sticking into.

Is having the pump moving critical for a complete flush?