Mathman, have you been at Dortmund during the Worlds 2004?
No, I couldn't make it in person.

But they did have good television coverage of that event. Joesitz and Hockeyfan both attended from the U.S. and have posted lots of insights about the competition on Golden Skate.
Wasn't Lambiel's [problem] with the new judging system that his spins were way too simple and only got minor levels? His spins were so fast in Dortmund and they are still great but not as fast and he seems to have problems with the centering (?) from time to time.
I think that is correct, although Lambiel's old spins look to me like they have enough changes of position to satisfy the CoP. Maybe he needed more changes of edges.
Michelle Kwan was never an outstanding spinner, but she worked hard at it and eventually achieved variations (like her "heart" layback position with her hands behind her and her free leg down) which at least looked pretty and were a satisfactory complement to her programs.
When the CoP came out she and her coaches studied it and decided that her best chance was to continue doing lower level spins, but try to make up ground in GOE by doing them exceptionably well.
It didn't work out. The judges did not give her any bonus for quality, and other skaters like Sasha (more flexible) were getting higher levels. So in the fall she went to work practising more difficult spins featuring more contortionist positions. She hurt her back while working on them and had to drop out of the Grand Prix. With her back problems, the continuing deterioration of her hip, and then a groin pull the next year, she was never really the same again.
In my opinion, what the CoP does not reward properly is "Skating Skills" This is one tenth of a skaters score (one of the five equally weighted program component scores). One could make the argument that it ought to be 100%. After all, this is a skating contest. Aren't we supposed to be deciding who can
skate the best?
To me, the place where skaters like Michelle Kwan, Stephane Lambiel and Johnny Weir excel is the quality of their edges and their flow across the ice. Michelle did not jump higher than everyone else. Michelle did not spin in more outre postitions than everyone else. She was not faster than everyone else.
But she won five world championships because she
skated better than anyone else.
This, to me, is the missing piece in the CoP puzzle.