Too simplistic and general a statement in my experience. I had a Trace modified sine wave inverter for years and it ran everything I tried, motors to computers. I was scared by the talk of pure sine wave being superior for electronics, so switched to a Trace SW4024 Pure sine Wave inverter, but I noticed zero difference with the same appliances, motors, etc.. Now long term in years, or per appliance, they may last longer with pure sine wave power?
And, recently bought a lower cost 3000 Watt pure sine wave inverter for a friend and it would not run some motors and failed with a 10 amp vacuum cleaner. It was an HF or high frequency inverter, so I then had to go and find a lowish cost, used, Aims Low Frequency inverter to run the vacuum etc..
Plus it depends on the battery and wiring capacity.
Point being, in my experience, it depends on the inverter and appliance (load), plus wire size or length, plus surge if required.
Inverter manufacturers are very poor and elusive on information on exactly what motors will or won't run vs. very general.
I'd advise asking manufacturers for specifics and or specific user reviews or for the exact application and invertt you are talking about.