My list wasn't intended to be a 100% thing. In the knife sparring I have done, those are the general rules that have tended to work for me. I have found that during knife ground fighting, I couldn't really do much in saber grip; I just kept losing the knife or getting it trapped on the ground.

In reverse grip, I find that I can more consistently carve my sparring partner up.

Same thing with stand up knife dueling. Nearly every time I try reverse grip at long distance vs. a knife, I get my hand carved up.

With saber grip, I tend to do the carving.

I certainly wouldn't stay in a grip that wasn't working for me just because it was on my list.
szorn>>"It seems to me that people get too fixated on stances and body positions when they should fixate on tactics and strategies. "
In my experience, tactics and strategy grow out of position. Different options open up depending on where I am relative to my opponent. I think most fighters tend to try to work to the sides and behind their opponent - better options open up as you move around your opponent. On the ground, same thing, side mount is better than mounted on guard and mount behind someones head or on their back is better than a side mount. The options available change with position.
Now, if you mean whether I am in a climbing or cat stance, then I tend to agree. Stance changes so quickly that it just isn't the driving factor that relative position is.