Seems strange to call it a "zero-battery-use fridge" and then follow it with
"It ties into the typical offfgrid system of a solar charge controller, battery bank, and photovoltaic panels"
The big issue with off-the-shelf AC fridges is the current draw required for them to start.
If you want to go completely zero-battery, you’ll need to highly-oversized your PV array just to handle the 1-2 second inrush starting current.
Or devise a slow-start function, overriding the AC flow to the compressor. So instead of starting at 60hz, you would start at 1, then 2, then 3hz, etc.
I guess OP means they could add a fridge to their off-grid setup without changing their existing battery budget for their other needs.