Our preferences differ, then; I like the "let's continue and move this conversation" experience and the "new people can join" bit as well.

This might be a skills issue. If you would like to get better at making the "new person is interested in joining conversation" interaction more enjoyable and graceful for everyone (including figuring out that perhaps the new person won't be a great addition to the conversation everyone else wants to have, and dealing reasonably smoothly with that to most people's satisfaction), that's a skill you can learn.