I don't think this will be a problem. We're a very approachable bunch and really welcome new friends. Based on our other LCT group cruises, we have gone out of our way to be friendly and welcoming to other passengers. I do agree that we need to be sensitive to others and not act as if it is our own "private charter".
As for inviting others into LCT...this should be done at our own discretion using our own good judgement.