I'm saying no, specifically in relation to the Trilogy.
My reasoning is around the real-time nature of the chat.
My major concern, and the one that popped into mind straight away, is that certain groups of people would post questions/answers in the chat. I can imagine there is people who don't post a question on the trilogy because they don't like just posting it out into the ether, where as if they had a list of people, which would be obviously changing in real-time, they would be much more inclined to post.
I could see people post links to their questions, pleading for answers.
My other concern would be moderation. To keep a relatively public chat clean, on-topic and not filled with spammers and other disreputable types would require a significant amount of human resources.
And my other thought is that I really don't think the trilogy needs it. I think the community has been forged successfully.
So again no, but I'm all for these types of thoughts.