Depends on the implementation
I don't twit, but I have a twitter account. I look at it occassionally (once or twice a month would be tops, I'm sure). I've never found the love affair of it, never really cared what most people had to say 'at the moment', never understood the point of people twittering the step-by-steps of everything or anything (like a twit-by-twit call of a hockey game, or the useless spur of the moment "THis is what I think of what Sen. Cruz just said in the debate"). Hey, at least it isn't filled with cat videos and pictures of people at various locations ("Hey, we're at the grand canyon! Here's a picture of us three real close up, but behind my left shoulder you can kind of see some of the majesty!") that is facebook's "Look at me" culture. (I'm old fashioned, I still do most of my communications via email - just call me a geezer).
But unless you happen to be reading your twits all the time, seeing one that says "Prayers to all those in Paris", for example, doesn't really help one know what just happened. Very little on twitter would, you'd have to go to other sources to actually get information. And at that point, you might as well stay there.
As described by the writer, having the capability to post larger stories or messages on Twitter that don't show up on your feed (or just summed up in 140 characters or less), it would keep people on twitter more. Of course, it'll probably just turn into a place where any ni-twit can post their manifesto against whatever group they despise with some serious writing in there somewhere. But twitter isn't making money on most of these folks who are on twitter. And in the end, twitter is a business, not just a place where people can tell you their thoughts of the latest star wars trailer or the price increases at Trader Joes.