I replaced my Dometic NDR1492 with a Samsung RF197. This is a counter depth refrigerator and the gasket for the doors is at the edge of the surrounding woodwork. It could have been slid back slightly more but then the doors would not have opened properly.
The Samsung is not quite as wide as the Dometic by about 3". I positioned the Samsung to one side of the original opening so the right door could be opened further. I did have to remove two drawers under the refrigerator opening to accommodate the height of the Samsung.
When not hooked to shore power I run the frig on my MSW inverter. With 4 golf cart batteries I can easily run the frig overnight.