Twitter IMHO is a very poor medium for public communication. It is very difficult to discuss complex issues like gender relations or the dynamics of immigration in a sober, thoughtful, nuanced manner via streams of 140 characters. In the former in particular I actually feel there's a definite case where Twitter amplified division; the notorious "SJW vs MRA" storm advanced little if any productive discussion and merely put people in opposing camps lobbying grenades at the other side.
If this is now "mandatory" for public communication now, I feel that's a huge downgrade from public communication methods in the past.
I don't want to presume to tell you how to use twitter but to me, it seems to be clearly geared as a one to many broadcast channel. It is much more akin to a protocol that allows people to subscribe to events/ideas/movements/news and get succinct updates about them. It is a terrible place for discussion objectively, but I believe this was by design-- and a feature.
I do agree with you there. Twitter is great for immediate notifications like that.
For discussion, if people, say, tweeted a link to their blog entry with their thoughts, I feel that would be a great use case of Twitter. Unfortunately some chose to do the entire discussion on Twitter. That often ends up poorly.
If this is now "mandatory" for public communication now, I feel that's a huge downgrade from public communication methods in the past.