The ground does not have to be switched. Double pole breakers and rotary switches break the neutral so the only green ground/neutral connection will be from the power source in use...
It will still be connected to the shorepower inlet and if the shorepower cord is plugged into the marina pedestal, there will be two seperate ground connections which is not permitted byu the electrical code.
If you unplug the shorepower cord you will be compliant, but that relies on you or anyone else knowing and remembering to do so.
I just found this thread. I am about to do a similar installation on my similar 1986 trawler. I also have a separate 30 amp shorepower inlet for my Air Conditioning panel. In your two switch set up, where do you get the two power feeds (one to each switch/panel) from the Next Gen? Are they just coming from the same feed?