Typing speed is important for the reason the article mentions -- micro-interruptions. Most of the time, you just have to type a few words, and the editor will complete the rest for you. Fine. But a lot of the time, you are typing a symbol for the first time, and autocompletion doesn't really help. It breaks your flow if you can't type this symbol quickly and correctly the first time. (It is also worth pointing out that I can type most words faster than it would take to cycle through potential expansion candidates, so I only use it for moderately-long identifiers. Abbreviation expansion becomes less of a time saver when you learn to type more quickly.)
Anyway, a few months ago, I decided I would learn to properly touch-type (and increase my typing speed). It was very difficult at first -- I couldn't type at all, and even simple programming made me really mad. A few months later, I can type significantly faster, and I make many fewer errors. (As an aside, I don't think touch-typing was really designed for programmers. All the important symbols end up under your pinkys, which is not very comfortable. So I compromise and type some symbols like ()- with my ring-finger. This probably reduces speed, but it doesn't hurt my hand.)
The common response to typing is "programming is not about typing, it's about thinking". Sure, that's mostly true. Nobody expects you to sustain 120 wpm typing for eight hours a day. But, it's very helpful to type quickly in bursts, to get your ideas in to code form as quickly as possible. Sketching out that idea in 2 minutes instead of 3 means that your brain has more time to think about the problem, and has to waste less of its time babysitting your fingers. I know I get mad when my typing speed is delaying me from trying an idea as quickly as possible. That's why I decided to do something about it.
I'm glad I spent the time to practice typing. It has made programming and writing more enjoyable, and didn't take much time or effort at all. The dismissive attitude of "programming doesn't require typing skills" is extremely naive.