All links in Twitter are nullified with the nofollow attribute. Google and Bing will most likely do the same. Any URL that is longer than 25 characters is automatically converted to a short URL by Twitter. A good ranking could drive traffic, but probably will not create backlinks.
Originally Posted by Szise
I cannot see where adding tweets to search results will do anything beneficial. 99%+ of all tweets are useless crap.
I am not sure how Bing will deal with it, but Google will likely use an artificial ranking process, as they do with YouTube. There aren't any merits in a 140 character or less tweet that would allow it to compete with a web page, and you cannot point backlinks to a tweet.
The ranking process will probably be based upon keywords in the tweet plus how many followers retweet the message to others.
"Democracy is two wolves and a lamb voting on what to have for lunch. Liberty is a well-armed lamb contesting the vote." -- Benjamin Franklin