"Tapping into the AC feed, before the double pole breaker, is not advisable. To do this correctly it means adding an entire new AC inlet and second AC panel. One inlet is not allowed to feed two on-board services per current accepted safety standards.. If you want to properly have a second power feed for the fridge then you really need a full second on-board AC system; cord set > AC inlet > 10/3 wire feed > AC panel with double pole breaker > branch breakers."
I am curious, Maine, as to why an entire second ac feed from the shore source to panel is necessary, particularly if I could have run the reefer off the ac panel. My shore/IC 2000 is set up as you suggest (Battery + Terminal > Class T Fuse > ON/OFF Batt Switch > Inverter + DC Terminal) except I happened to have on hand and used an on/off circuit breaker where you suggest a Batt switch. BTW, if I did that more or less correctly it was, I'm sure, completely inadvertent.
The ac wiring from shore is probably 10/3 as is the shore power cord I suspect. But everything from the new bus > breaker > 0-1-2 switch > plug, and bus > ac panel breaker > 0-1-2 switch > plug, is 8/4 because I already had the wire.
As you point out, any effort to manually stop the 2000 from automatically switching to inverted ac power, will also disable the charger. I don't really contemplate using the reefer on inverted power, particularly on anything more than a 2 day sail. As others have pointed out, apparently they will stay cold without power for a day or so. Were I setting off with my limited fuel/holding/water capacity for several days or a week using anchorages rather than marinas, I would have to decide whether to unplug and pull it out, or let it be. As you colorfully point out, after a day without power the ac reefer is a hunk of metal and foam useful only as storage.