To test the theory in the above post, you could plug the Bosch into the Pro Power Onboard in your Lightning and see if you still get a charging port error using known clean power. There's a "Will F-150 Lightning Charge Itself?" type posting somewhere.
If your dealer would allow it, you could get a NEMA L14-30P to NEMA 14-50R dogbone or adapter and try your Ford Mobile.
I'd rather say to find an EVSE that you can adjust to 24A to try on those circuits. They should not have 30/32A EVSEs if those are 30A circuits, max 24A. But, then you would have to get into the 30A Pro Power L14-30R in the truck bed being advertised rescuing Teslas with the Ford Mobile 30A...