Some modern electronics are very finicky when it comes to clean power. Most mainstream inverters put out a Modified Sine Wave (MSW) that isn't as smooth as from the 'grid', and can cause the appliance to fail.
I've heard that Monaco didn't put inverter outlets in the bedroom intentionally because it might mess with some night-time breathing machines and other stuff.
For instance, our old electric blanket (the kind that goes 'click' when it turns on or off) worked fine in the coach, but I burned out new electronic ones twice before I figured it out. And this was after I'd rewired new outlets for the bedroom thinking there was a manufacturing error.
But if your cell phones can charge off other inverter outlets, maybe just run an extension cord from one of those outlets to the bedroom?