Introverted personalities can and do learn to be outgoing when they need to be but that doesn't necessarily make them become extroverts. Typically an introvert that has the skill of being able to outgoing sstill remains introverted, and I wonder if that's the case with you. If it is you still have the need to recharge a lot when you do go out of your way to interact in groups. I dunno, is that the case with you?

Even so as I already said I don't think being introverted in the most understood sense is necessary, just learn to say no when asking to be a part of a group more