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The extended range version has a 131 kWh battery, the average American household uses ~900 kWh per month. So yes, it could power your heating or cooling for days in addition to everything else. A big home central air system will pull 5 kW and won’t run 100% of the time.

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kWh is power over time. When planning a power backup solution you have to account for spike loads, building code inspectors will insist on it. For an average central air conditioning system the outdoor refrigerant compressor has a locked rotor starting amp requirement of ~80A (typically). According to Ford the max amp feed back to your home from the truck is 80A. Building code will let you hook up your outdoor unit only in that case, the inside air handler will not be allowed because (assuming internal is 15A) you would be asking for 95A. You will most likely require either load shed devices or a transfer switch which will most likely not include your whole home or your AC/HeatPump. At least by building code.

In America anyway, you size based on FLA, not LRA. NEC Article 430[0].

My heat pump's compressor has a nameplate LRA of 134 A, and a FLA of 26.4 A. The breaker is 50 A.

[0] https://www.ecmag.com/section/codes-standards/motors-motor-c...

I don't believe electrical codes have anything to say at all about the sizing of emergency generators.

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