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No, it's stable iff moving away from it doesn't benefit the person who moved away from it.
If you actually knew those probabilities, then 90%-10% would be stable by definition, because moving away from that (defecting to red) would not benefit you. Of course, we don't know the probabilities ahead of time, but you're the one that brought up this hypothetical.
I don't agree with your definition of stability. Even using it, though, some people value others' lives more than their own. There is no law that choosing red is positive EV for an individual. I'd argue 100% blue is more stable than 100% red, absent cooperation, because more people are prosocial and asocial than are antisocial.
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