I've used the Taylor method of stringing for years and it does work great, leaving the headstock looking neat and holding the strings tightly.
The only thing I noticed in the Elixir video is that they've changed the length to cut on unwound (B-E) strings. Their first iteration called for two post lengths rather than just one. In other words, the distance to cut on the high E string would be to pull it to the G string post. Still plenty of room on the post to wind.
Another old trick they used to teach was this: Instead of "imagining" the one post distance on the D and G strings, pull the string up to the post, grab it at the post with the left hand to maintain tension, then retract the string with the right hand to the preceding post - Giving you the one post distance. Cut the string at your left hand position and wind. For the B string, position left hand at B string post, pull string back to E post with right hand then, while holding the string with right hand at E post, slide left hand up from the B post to G string post, and cut. This gives you the two post length I mentioned before.