The short answer is of course he wouldn't the same way you wouldn't.
The long reason as to why. The reason why is because 3 weeks ago, nobody was checking for Kwame Brown. Even if he had try to reach to the Reid family prior to all of this, there's a strong possibility they wouldn't of accepted the offer because Kwame DID NOT HAVE A PLATFORM to reach out to an alarming number of people. You have to factor that in. The whole reason why he's on daily now is because his following great over 300K virtually overnight. So, why wouldn't he use it more as an outlet for others to be heard. He feels a responsibility since he reignited the Jessica Reid conversation, even if it was only due to respond to CTG's slanderous implications at Kwame, that he should follow through and get more people involved in support to seek justice and closure for Jessica.
People just want to talk just to talk. Kwame knowing he now has a huge following want to maximize his ability to allow the voiceless to be heard.