Every twitterer is a newsletter. Most hardly ever tweet and sporadically at that. The followers are subscribers. They hardly even see most tweets they subscribe to as the whole thing is quite ephemeral. Same as never reading all your emails (very few people are inbox zero freaks).
The timelines are just that, an email inbox. It is very soft "real-time" at best.
Tweets older than 48 hours can just be archived to a blob store and served as a static website. Most people consume it as such, logged out and from the browser.
You think brainyquote.com is hard to scale? Think of twitter.com as unbrainyquote.com.
All the other froufrou built on top of it is more complicated but 2007 style twitter is dead simple. That is its (completely accidental) genius.
There is no shortage of systems that are x10-100 times more "web scale".