Update - it appears my heat issues are under control. I also was able to finally get a third function back as well.
I ordered a D03 subplate sized valve from Summitt. They listed it as rated for up to 15gpm so I took a chance on it. The factory one from Kioti was only rated at 10.5gpm.
Since all the Kioti fittings were BSPP I had to shop around to find everything I needed. I got one from McMaster Carr and the rest from Discounthydraulichose.com. Surplus Center didn't have what I needed on this one.
Since I already had all the wiring and hoses run to the front I was able to reuse all of that. I went with 1/2" hoses for the power beyond from the loader valve and for the return that goes to the rear valve / three point valve.
I am running Kubota SUDT2 fluid because I had 12.5 gallons already here. If anyone is having heat issues I'd suggest it or John Deere low vis Hygard.
After finding out about the screens in the banjo bolt in the back I removed it and took the screens out. There are two of them sandwiched together. I see no use for them other than to restrict / aerate the fluid so I got rid of them.
I added a small inline gas filter to the breather hose just because, I figured it could help keep dust out of the system.
I can now mow in 90 plus degree temps and keep my hydraulic system below 200 degrees F. I was not able to do that before. I also am consistently reading a significantly lower temp on the rear axle housing than I am on the rear remote block. Previously they were closer to the same high temp.
FWIW I took some video like justman777 did inside the tank and with the SUDT2 I get what appears to be air right at start up just like he did. The bubbles though are larger and seem to dissipate after running awhile. Where that is coming from is still a mystery; however, where I was experiencing jerky reverse and sometimes forward movement like some other posters were, I'm not anymore. I have also been monitoring my temps and haven't had near the temps I was before.
Hope this helps. I will continue to keep an eye on things and report back. The 3rd function valve that was sent with my tractor I think is the same they are using on the CK2610 through CK4010. For those machines I believe it would be perfect. For the larger tractors I think it is a big mistake.