Never trust verbals. I managed to get the datasheets for the compressors; and a proper spec. The bigger one has a 33A locked rotor current (ie: starting current) for <500ms

. Plus they need FOUR systems, not one. And they want WiFi monitoring.
The 10kW unit might still do the power stuff, but at 130kg and its size, I think this might be a better, smaller, cheaper and lighter solution:
Use TWO 90-264 VAC to 24VDC 60A battery chargers (in parallel?) to supply a 24V LiFePO4 100Ah battery which is connected directly to the input of a pure sinewave inverter. The LiFePO4 battery acts as a huge capacitor, and that and the chargers provide current to one of these:
https://inverter.com.au/10a000-watt-surge-24-volt-pure-sine-wave-inverter-ps5000a24. Therefore the battery acts as a capacitor for the inrush current to handle the surge. Cost is $3500 USD plus enclosure plus battery. If it works here, we buy another battery in the USA due to shipping issues.
I assume as long as the average current drawn from the battery is less than that available to supply it from the chargers will mean the system will work and hopefully be reliable.
For the WiFi monitoring, I will find something like an iMonnit that measures current from a ferrite clamp, but probably cheaper.