I've been using most of the elements of that Taylor stringing method for a long time except for cutting the strings before stringing which looks like it would make things a bit easier (unless of course you're using those round cores). I also apply some graphite to the nut slots before installing the strings, grinding in some lead pencil also works. Most of you guys with a manual string winder probably know that there is a bridge pin puller built into the head of the thing so you don't have to use wire cutters.
Btw, the name of the company referenced in the thread title is Thomastik-Infeld.