The problem is that as long as the name has that association at all, it's going to be a way to attack Briar.
Darknet now: Anonymous place drugs sometimes happen
Darknet if it becomes bigger: That place where terrorists and criminals hide, the FBI and NSA say it's a risk to national security and we have to stop it at all costs! What do you mean it's just a secure messaging app? I'm not a terrorist, I don't need anything like that!