My genny roars its head off when I fire up the pod machine far more than when AC is on actually, you would certainly need a full charge in batteries and nothing else feeding off the inverter to get it going.. So as
@poor but proud said confirm it works on 240v, then check battery capacity, with full charge and maybe a solar feed as well see if it works, if not it could just be that the mini job demands more juice at start up which trips out the invertor where the 1700w job has a more softer start up, its basically just an jug element................ also a 2000w inverter often isn't really, can provide 2kw for a short time but will run at 1.5 or1.6 happily...
either way I would be checking the run to the batteries from the inverter to make sure good solid connections, too much resistance in a bad connection and you will have a melt down.