To the OP, I'm not a fan of removing the return hose to pump out fluid while adding fresh fluid to the reservoir. As another said, it may not be possible to add fluid as fast or faster than the fluid is being pumped out. The debris screen near the bottom of the reservoir can only pass fluid so fast. My technique has been as you stated in your first post. Siphon old fluid out of reservoir, replace fluid with fresh fluid, run car while turning steering wheel from lock to lock a couple of times. Then repeat. Each drain and fill uses about a pint (or more, depending on which of 4 cars I'm working on). Each time the fluid coming out will be dirty, but after 3 times, some slight improvement in fluid color will be detectable. I usually do this procedure at every oil change, so that each year (the highest annual mileage car only sees 8K/yr) , I see some improvement. I try to use 2 qts for each car.
If you're clever, you may be able to rig up a old length of brake line on the end of your siphon line to help suction volume on your siphon line at the bottom of the reservoir. I have done this to aid in removing sediment/debris that inevitably gets into the reservoir and sits on top of the screen at the bottom of the reservoir. You have to be delicate with your siphon tube/hardline so as not to puncture the screen.