256 kWH/yr. is average of 701 wH's per day. That is about right for a 14-16-ish cu-ft refrig. 1 kWh/day is typical for a mid-sized refrig in 17-19 cu-ft range. Freezers are typically lower power since they are opened less often and with door top opening, they allow less warm damp outside air intrusion when opened. This also goes for a refrig with bottom drawer freezer. Side by side doors are the worst. Number will vary depending on how many times you open door of refrig a day and the temp/humidity of their surroundings. Don't expect that number if refrig is located in a warm garage, might get better if located in cool basement not only due environmental coolness but a basement refrig probably will get opened less during the day compared to a kitchen located unit. Refrig power consumption is proportional to the number of kids you have.
There is defrost cycles that typically occur every 15 to 20 hours so a daily number average is fairly accurate. Any shorter period of time measurement may have, or not have, a defrost cycle power included which can swing the watts/hour consumption average observed. Best way is just to put a Kill-A-Watt meter in line with AC plug and let it accumulate watt-hrs for a week with your typical use case. Right after you get back from grocery store, open door a lot and put warm stuff in refrig it will draw more power for a few hours afterwards.
For inverter sizing you should know what the peak defrost current and startup current is.
Defrosters wattage can vary. Some units have high wattage heaters with short duty cycle, some have lower wattage defroster with longer duty cycle. I have seen as high as 1kW and as low as 100 watts for defrost power. Don't think you can disconnect defroster to save power. Depending on room humidity, usually within a day or two there will be enough frost building up on cooling coils to result in compressor running longer, consuming more power than you saved by disconnecting defroster.
For measuring startup current it is important you leave unit off long enough to allow refrigerant pressures to equalize, and if it has a start capacitor PTC thermistor to disconnect start cap after startup, PTC thermistor needs time to cool down. 25-30 minutes should be good enough. Do not short cycle power when running from a small-ish wattage battery powered inverter. The extra startup current may overload the inverter causing it to shut down.
A lot of folks first playing with battery power inverter to run refrig will short cycle unit to point where compressor overheats. When compressor cuts out due to thermal overload it can take several hours before it cools down enough to get it to startup again.