jzmtl, there are some serious flaws in his reasoning. I'm speaking specifically of the part about why to ski on the inside ski in your second link.
First, lets get some terminology straight. I hate the uphill/downhill ski reference, when talking about it in the context of executing a turn. It's confusing, because which ski is uphill, and which is downhill is changing throughout the turn. Inside/outside is much better. See here:
Now, with that sorted, about the flaws in the article. In big edge angle turns the inside leg is severely flexed, and the outside leg is extended. A flexed leg is a much weaker support mechanism for the mega forces that must be resisted when making that type of turn than an extended leg is. The outside leg is referred to as long and strong. It's where you need to be predominantly balanced to best be able to bear the load of the turning forces you're subjected to during big edge angle carving.
The other problem is how he says keeping the Center of Mass more over the ski you're balanced on will result in less slipping. That idea is flawed because the CM will always have the same lateral relationship to the ski you're balanced on, regardless of which ski that may be. If you're balanced on your inside ski, it simply means you angulated less, and your CM has move further away from your feet.
Hope that clears some of your questions up. Feel free to follow up if you have more.