The difference between inverter and non inverter is the inverter units can alter their speed in response to cooling demand.
Some units have an initial over-speed period where they will run at a slightly higher capacity for a set time to pull down the temperature of a hot room. When they reach the set point temperature they can reduce capacity to maintain that level without cycling as much as a normal unit would.
This saves power although it’s arbitrary as it would still take a while to recoup the increased purchase costs....