After cycling 2.5 GALLONS of power steering fluid through the system with lock-to-lock turning cycles during the flush, I think it is finally running clean enough to install a replacement pump.
Observations
1) While cycling 2.5 gallons of fluid through the system, I held my hand over the reservoir opening while the steering wheel was turned lock to lock. At each hard lock position, where the pump makes an increased hiss, there is a strong vacuum that builds in the reservoir. This may be an explanation for why so much dust/dirt was sucked into the system as I had been doing a number of hard steering locks on switchbacks. With the short-lived Dorman reservoir, I can see how dust was sucked into the system. While I did change and cycle fluid, there must have been some dirt still hiding in a cavity from last summer.
The Dorman reservoir cap provided little in the way of a reservoir seal. A normal driver would not have experienced the amount of dust combined with hard steering locks. I will move the knuckle adjusters out to reduce the amount of pressure that occurs from a hard lock.
2) After the flush, the fluid now looks like a little fountain inside the reservoir as the wheel is turned from lock to lock. Fluid will shoot up out of the reservoir hole when turned lock-to-lock. While the pump is weak, it does appear to be moving more fluid.
3) The system appears to be clean enough for me to go forward with changing the pump tomorrow.
Pictures Below
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