How much time you got?

It is a 6L80 that is supposed to be brand new. By the looks of it, I think it is new.
The main issue is it gets "lost" at light throttle, usually after decel, like when slowing for a railroad track or approaching a red light. Then when you lightly accelerate, it goes to downshift, then mid-downshift decides it needs to go back to upshift and bangs into the gear it just downshifted from. Goes back & forth...up/ down/ up/ down....I call it "lost". This continues til you accelerate enough to "forcefully" make it downshift with more throttle.
Took it to a tuner who found some upshift & downshift points that were set at the same speed. SO it appeared when he adjusted those points it would be cured. But all that did was change the speeds that it happens from the 30-40 mph range to the 50-60 mph range.
My tuner questioned whether there is a mechanical issue with the trans. I took it to a reputable trans shop in my area (owned by a street rodder). He scanned it (found no codes), and we went for a ride. It did the lost thing once during the test ride, but after it got really warm (over 180) it stopped doing it & I couldn't induce the issue. He thinks it is fine mechanically and it is a programming issue.
After I dropped him back at the shop, it did it again on my way home.
So it does this every time I drive it, mostly during warmup, but not always so.
Another issue is it has a very tight convertor in it...I'm guessing 1500 stall speed or so. The engine idles at 870-880 and is tugging at the convertor. So it is constantly trying to move the truck at idle. It will drive the truck at 7-8 mph at idle. It takes high brake pedal effort to hold it at a stop light and makes it tricky to pull into my garage with Racedeck matting.
GMPP recommends a 3200-3400 rpm convertor for the LS-3/ 480 hp. for auto trans applications.
I have a 3000-3200 convertor on order that should help this issue.
Once the convertor is installed, I think my next approach is to find someone who can simply install a stock ZL-1 program into my trans. and see where that takes us.
Thanks for asking. Always looking for someone who can steer me in the right direction.