I run a chest fridge at my camp with a 2000W MSW inverter for years without issue. It is a cheap Harbor Freight model I bought broken, I just wiggled out two shorted H bridge FET so you could call it a 1,000W. Startup at 12V is about 120A. H bridge section can easily Handel the power, all fans are removed to lower current. It is the inverter section which is always weak. in small units. There are some videos that demonstrated low voltage inverter sections being paralleled to handle higher current. Anyway, many of the older models used a TL494 for the H bridge. I have thought of increasing the dead time after the fridge has started to make it more efficient. NASA had some patents in early 80's that altered phase triggering in motors to reduce power consumption once load lightened. Some company made them called GREEN MACHINE. If only running a fridge, you could probably just increase deadtime to prevent magnetic saturation. My fridge only draws 78W when running so I can't see there would be much of a reduction.