Our cymbal players have inverted cymbals many-a-time. Especially when we had cheap ZXT's, they inverted about once a day in the sun. But yeah, don't invert the cymbals, we had a ZXT crack after inverting a few times. Now we have really nice cymbals, but one kid managed to invert one, because he's a moron.
I'm also not sure about it, but it seems like they invert easier when it's hot out. Is this true?