Twitter rolled out the algorithmic TL to my account the other day. Of the first 12 tweets on my TL, 8 were really badly targeted ads,[1] and the other four was one of my friends liveblogging a TV show I don't care about. Twitter shuffled the order of her tweets in doing so, of course.
The promise is that algorithmic TL will show you the best organic tweets, and relevant ads. In practice, the ads are trash and the organic tweets are just as bad as usual, but in the wrong order.
1: Diapers, cars. I don't have kids, and while I've been looking at cars, I sure as hell won't buy a new one.