Dear all,
I think it is partially correct, because most inverters produce square waves of electricity. (first of all I don't know your inverter brand and its specifications) the local power is completely sine wave. All electronic devices designed for using sine wave. So there is a chance to damage the inverter to some highly sensitive devices. for example with some inverters we can hear a humming sound with fans.
check this link *en.wikipedia.org/wiki/Inverter_(electrical)
thanks