Hi Rob,
Steering problems seem to be popular these days. My power steering was behaving badly too, as if I had zero power steering, you know, power steering by Armstrong? It started several months ago. Turning to the left was a little tough, but to the right, forget it. Mine was not intermittent. I replaced the steering valve (Steering machine as Jinma likes to call it) that made no difference. (BTW replacing the steering valve was easier than removing the pump). I finally replaced the steering pump altogether and that fixed the problem. After taking the old pump apart I discovered there is a pressure relief bypass valve built inside the pump. I suppose I should have tried adjusting it, but too late, I already had the new pump installed and was not about to put the old one back in to experiment with adjusting the relief spring.
My Jinma 354 has it's own separate power steering pump and reservoir, a completely separate circuit from the TPH / FEL / TNT / Grapple etc... Just like yours.
It has about a 2 quart fluid reservoir and no suction strainer. In order to get the darn pump off I had to drain the radiator because the petcock was in the way of removing the pump. After draining the coolant and removing the petcock I was able to get the steering pump off. It was a real PITA. As you mentioned I did install a 10 Micron return filter, all I did was cut the rubber hose between the hard line and the tank and insert the filter between the two. Works like a charm now.
My gut feeling on yours is the "W" o-rings on the ends of the inside of your pump are flat, so your pump is not building up enough pressure. OR like you said there is crud circulating around in there gumming up the works. OR you may need to simply adjust (turn in) the bypass valve to get more pressure.
I could take some pictures of my filter mod if you like. It's just a simple spin on Northern tool or Surplus center 10 micron hydraulic return filter with some brass 5/8" barbed hose X 3/4" male NPT fittings (From Home Depot). I think it was a worth while $16.99 investment to protect a $189 pump, a $ 280 steering valve and a $200 steering cylinder.
Surplus Center Filter
Does your pump have an adjustable internal pressure relief bypass valve like mine does? If so have you tried to adjust it?
When your steering works and you turn the wheel all the way to the stops and beyond, can you keep turning the wheel? How much resistance is there if you can keep turning the wheel? The reason I ask is if there is little resistance when turning the wheel past the stops, the bypass in the pump is set to low. That's how mine works anyway.
Larry