I don't intend to be a dog with a bone about knee in or out. Simply riding a bike in a straight line requires one to constantly make adjustments so there is nothing strange about adjusting your knee (for example) whilst cornering.
Personally I have always cornered (when freewheeling) as per Nick, but my inside knee in the same plane as it would be if I was pedalling.
If I remember / get chance I might dig out my copy of Bicycle Science and see what they say about the subject.
But going back to the original point, I think the biggest change in your descending was probably confidence. By doing what you know best you relaxed, allowing you to instinctively make the adjustments we have talked about and descended better as a consequence.
I consider myself a fairly good descender but I once had bad shimmy descending a fairly steep hill and ever since then there has periodically been a slight doubt in the back of my mind, especially at the beginning of rides before I have warmed up. Less so on my current bike as I have never experienced shimmy on that.
Going over Holme Moss once I noticed a lot of gravel chipings on the road. These played on my mind descending the other side. I was so worried about hitting chippings and slipping on the steep downhill towards Glossop that I found myself braking heavily. (Ironically the chippings were only in evidence on the Holmfirth side and the Derbyshire bit was pretty well surfaced).
I then started worrying that I was breaking so much that I would be over heating the tiny amount of air in the 23c tyres (the rims were getting quite warm at this point) and get a blow out - causing me to want to go even slower. I was a nervous wreck before the end of the descent, barely breaking20mph most of the way down, whereas normally I am good for 40mph plus with worrying too much. So I think the psychological aspect is probably more important, despite me arguing abut the physics above.