Of course. But as I said, even introverts are communicating even when they're trying not to. Shy people typically are not rude when they are finally actively engaged, especially with kids, but that does unfortunately seem to be the case with Rose. There is a large middle ground between having frequent open conversation with the fans like Dawson, and actively avoiding them and their presence like Rose. He can just wave and/or smile if he doesn't want to talk to anyone, and I think the vast majority would deem that more than sufficient.
So this in the context of the plethora of reports of his attitude problems, I'm more inclined to believe it is bitterness/poor attitude rather than specifically being shy. Far too many reports from fans saying he actively avoided them after games/for training sessions, and even included ignoring the kids.