I think there is way too much worry about the inverter generators. I have a 10 year old Polaris open frame genny that runs EVERYTHING in my trailer. TV's, AC, computers, charges phones.
The only issue I have ever had was when I let the fuel run low and it started chugging. Killed the TV quick then it popped the breaker on the gen.
The nice thing about an inverter is that it adjust's it's speed according to load. Mine runs the same speed all the time but when loaded it get's louder and the sound is much deeper.
Chris