I mean, honestly, tweets are 140 characters or less. The average tweet takes a handful of seconds to read. Is my time so important that I can't spend a few minutes of my day learning what my friends thought was important to share with me? Must I tailor their interests down to only those that I deem relevant? Am I so bad at skimming content or choosing which content is worthy of in-depth inspection that I must have a computer do the editing for me?
Obviously, the answers to those questions are highly subjective and use-dependent. Personally, the only editing I need is the unfollow button. If I respect a person enough to want to hear what he has to say, I gladly take the risk that sometimes his output won't be immediately relevant. (As an aside, a year ago I met one of my favorite journalists. I asked how his dog was, since he had been tweeting about his new puppy. It was a nice ice breaker. I didn't follow him for dog-training updates.)
I should make a disclaimer: I'm not a heavy Twitter user. The ratio of feeds:twitters followed for me is something like 10:1.