Well, I ignited a flurry of code quoting and discussion outside the scope of my question, which wasn't my desire, so sorry about that. Circling back to my original question on this post, I did get the spider box and the adapter plug to test it all out. The neutral is definitely left open and unconnected on the adapter.
The box sees 240 at the breaker inside and it does pass through the 240 volts on the pass through. They just tapped 3 of the 6 breakers off each out leg of the main 50 amp breaker. It's only seeing about 100 volts off each plug into the 120 outlets and it gets weird as you switch one breaker or the other. Maybe someone can describe to me why this happens in a GFCI circuit. Is it backfeeding? Obviously it won't run my portable AC because it's not getting enough voltage and just beeps an error. I am sure it is because it doesn't have the nuetral connected through the adapter.
None of the GFCI test buttons work with my plug tester, or on the receptacles, breakers, or the AC GFCI either. The voltage in from the main breaker and to the top of each breaker is a clean 120 volts, so It looks like I need to do the subpanel and get a longer 4 conductor offshore cable, which is what I wanted to test before I spent money on any more cables.
I ultimately didn't buy much, just the adapter, and I may have a a use for it outside of this experiment.
I cleared out a work space on the shop floor and made sure no combustibles were near by in case stuff got melty or worse, but I guess my question ultimately is what gives the erratic voltage? Is it because it is backfeeding through the "ground" and doeesn't have a clean path on the nuetral? I can wire things minimally for welders all day long but as soon as the GFCI and nutral circuit come into play I am not sure how they allow the 120 volt and what can cause the erratic voltage.
Thanks for any explanation but if we can keep it simple I would prefer that over code quoting...