I just remember that 10 years ago it was quite difficult to operate a compressor freezer from a battery. Even a sinewave-inverter with 10 times the power specification of the induction motor in usual freezers was struggling to provide the necessary inrush current, and then you needed a battery that was able to power such a big inverter.
It is the crappy nature of fixed frequency mains motors. They start at basically what is 0% efficiency, pulling massive inrush current.
The problem is with the same word "inverter" with two clearly different meanings. I would prefer to say "motor controller" or "variable frequency drive", but the compressor/air conditioning industry chose to say "inverter". A controller which uses DC voltage to rotate a brushless motor (so AC motor basically) has very little in common with an inverter which takes battery DC and outputs general purpose 120V or 230V 50Hz or 60Hz AC to be used with whatever random loads.
The main difference is scaling frequency and voltage to be suitable for the motor, based on measured or estimated RPM. Plus that in generic mains load, you need a voltage source with infinite current capability. When driving motor, you are creating a current source you want to and can control.
These two things make a huge difference for efficiency and completely removes even the
concept of inrush current, as current is always in the inverter's direct control.