It certainly doesn't.

About 1/3 of the people in the USA use Twitter. Which means 2/3rds of us do not. Reddit's audience is larger, at about 1/2 of Americans. Mainstream media's is 2/3rds. And the true information flow happens when people talk IRL after consuming some or all of the above.

So while yes, Twitter has a significant audience, they are not holding a monopoly on live information in any form.

(And this isn't even getting into whether or not people trust each of these information platforms. People often consume media but don't trust what they hear. Which is probably a good thing.)