Changing PS Fluid Question?

[Uloset]

I'm going to change my power steering fluid by removing the return line from the reservoir and running it into a waste container. I'll pump new fluid through the system by adding it to to the PS reservoir as needed , jacking the front end up and turning the wheels stop to stop with the car OFF. I'll do this until the fresh fluid has worked its way through the system and runs into the waste container.

Many people seem hell-bent on cycling the pump either by cranking the engine or by removing the belt and spinning it manually or via air ratchet. Am I missing something here, won't pumping the fluid by turning the wheels achieve the same results with out the fuss of removing the belt or danger of running the pump dry by not being able to add fluid quickly enough?