Unfortunately, given the nature of network effects, I suspect those who use Twitter will continue to use it, news media will continue to treat it as a primary source for comments from people, and those of us who wish to refrain from using it just... Won't have access to that channel of data. I don't see a scenario where a mass-walkout happens... Certainly not from this.
It'll be like the good old days of only finding out what's happening in the next town over because you read the paper's account of it, only now the next town over is just a site we could create an account on but refuse to.
Is that so bad though? Nothing I idly read about online much less twitter has any bearing on my daily life. It's mindless content masking as some important cultural zeitgeist. It's no different than netflix or any other time sink.
It'll be like the good old days of only finding out what's happening in the next town over because you read the paper's account of it, only now the next town over is just a site we could create an account on but refuse to.