There is what I believe to be a filter of sorts that appears to be on the hydraulic return line from the cooler, something that appears to look like a John Deere LVA12726 inline filter.

I do not seem to see this mentioned much with respect to posts, but it appears that mine is completely mucked-up. Not sure what the heck is in this (just a screen?) but I am not able to get any flow through this whatsoever. It looks to be an $80 part. Looks like it is used in many applications. This is inline from the oil cooler return to a solid T connector on the reverser.
Not the easiest to access filter on an assembled machine, but me thinks this is a rather critical element of the entire reverser system. I was unaware of this when I have gone through the main pickup screen filter on the lower part of the reverser.
None of my warning lights are working yet, so I am adding an oil temperature sensor/gauge to mine. I have a feeling that this has led to failure of the reverser (clutch plates in particular) and denaturing the oil. This is all relatively low pressure, so I am not too worried about the plumbing.
I do check everything before starting her up every time, but this is clearly not enough. Better start working on the indicator panel system.