Nobody seems to care about this or has an opinion, so I moved on. However, in the interest of others having my problem and wanting a solution, I'll post how I fixed this. Youtube had a video on the subject that seemed to pinpoint the problem and so I was emboldened to go through the right transmission.
Zero Turn Transaxle No, it wasn't perfectly my trans, as I had no oil pump where the input shaft conveniently extends through to be tapped on. However, being a mechanic for 30+ years, I pulled out the input using a slide hammer bearing puller. Just like the video, one of the check valves was loose, so I added a bit of Loctite Blue and hammered her home with my impact. I removed the other check valve and did the same procedure. I carefully scraped all the gasket surfaces and polished them with a roloc disc. I don't have my parts cleaner up yet, so I emptied 2 1/2 cans of brake cleaner to totally remove any particles in there. Since the trans was apart for almost a week waiting for the seal kit, each gear, bearing and shaft got the same treatment. Re-assembly was fairly straightforward, except for the very beginning when you have to assemble the pump with the six pistons and the servo with its six pistons sitting at a right angle to that. The springs make it hard to slide the pump in, so I got a nylon spatula, and trimmed it to the width of the pump body to help me press down on it while getting it to go. Wow. That was kind of easy. There was one nick on the spatula that troubled me. Next time, I'll trim a SS spatula so I don't contaminate the gears. My luck is that this 'nick' will wind up in a check valve at some point. Grrrrrrrrrrrrr. I hope it finds its way into the filter quickly and I don't have to worry about it. I went and changed oil in both units and then proceeded to get it primed. It took a push or two for the left side, but I was at it for a long time to get the right side all purged and working. It also took five quarts and not four. There was a lot of oil in the pump and servo that don't get changed during normal maintenance. No more hesitation though and it feels stronger than the left side now. Hmnnnn. I might pull the left side in the winter. The seal kit was about $45ish and the RTV was probably around $5. It took about 20 minutes to pull the trans, a half hour to disassemble, an hour to clean it, forty five minutes to re-assemble and another forty for the install and bleed. This was my first time in one of these, so I was in no rush to make time. Slow is smooth and smooth is fast. Not having to redo it all was priceless. I was comfortable enough having watched the video to not take lots and lots of pics. Caveat: There is one small part that is hard to see and took me a long time to find when I pulled everything apart. It gets mentioned in the video, but like the assembly of the pump/servo sub-assembly, it wasn't given proper attention. It's about 1/4" square and an 1/8" thick. It fits in a small cavity that's visible when you're putting in the servo output shaft, round side towards the shaft. It's the bypass mechanism and the shaft sits on it and allows the oil to bypass when we pull on the tab. Find it. Don't lose it. Don't forget to put it back.
Oh yes: use assembly fluid liberally.
EDIT =>In the cost breakdown, I forgot the $55 of synthetic oil and the $12 in filters.