For what it is worth…
That article is four years old David.
google analytics picked up 4 dead links that I fixed as soon as I noticed them on the analytics page. In the time it took to clear, I went from first page to fourth for major searches only to have it return to page one after the bad links were cleared from the analytics data.
They were internal links, if that makes a difference, that referred to internal pages that no longer existed. If you change page names, I would suggest you leave the old one in place for awhile because google caches them and they still appear on SERPs. (such as going from about.com to about-you.com)