2. Being THE model for COP singles skating. There are several singles skaters who seem to work COP extremely well: Chan, Buttle, Lysacek, Rochette (to a lesser extent, Takahashi, Flatt...), but Kim will be the standard. People quibble about the scores, but not the results (compare that to Lysacek vs Plushenko at the Olympics). In fact, it's noteworthy to consider that her success (Kim's) isn't much more considerable than Lysacek's (one silver medal at worlds difference), but the totality of her victories makes her the COP icon. Kim is who future skaters will follow. Her programs (thank you Brian Orser and David Wilson) are gonna be the ones studied by future generations to see how to earn the points to win competitions. Who else is there?
I am not sure if being the model for COP makes a good compliment, actually, because it's still a developing system.
Say, Mao used to be so only three or four years ago. Not using her weaker jumps, 3T and 3S, was not a problem because they had lower base values (it is still not too much of a problem) and her lutz was praised as a good jump with good hight etc and her 3A was not called for UR as often as it is now and her 3F-3R was always ratified. It seemed as if she'd earn more and more points with all those jumps that garner greater base values. But when the rules evolved (edge calls, stricter UR calls, and recommendation for giving more positive GOE when applicable) along with her own jump techniques having come to suffered, she is no longer a model for COP. Her weaknesses were looked over under the previous rules. Had the 2006 standards been maintained, she'd still fair much better now, despite some struggles that happened after growth. I am not saying that the 2006 rules should have been maintained. But I am making a point that rules are still subject to change and they are still deciding what they'd focus.
Likewise, Cohen, her big flutz was not an issue when she skated under COP of that time. Her landings tended to be tight, but were not hit for URs. Shizuka lipped but did not need to get an edge call at that time, either.
Also remember Caro won that Worlds Silver with those fully rotated jumps with messy landings, Laura won Bronze with three triple programs etc etc. What if the rules come to more strictly punish mule kick and leg wrap, then Yukari Nakano or Caroline Zhang would have never won anything. If the rule comes to punish a program without a full set of triples, then a lot of skaters, including Yuna and Mao, will be in trouble. If positive GOE comes to be rewarded by relative percentage (X1.1, 1.2, 1.3) rather than additive points (+1, 2, 3) as discussed in some skating boards including this one, then Yuna would not be able to benefit from GOE as much as she does now, either.
The system is still evolving and they come up with something new every year.
I think that skaters would like to be remembered for their quality, rather than points (quantity), because points depend on the rules, and rules change every year, meaning it's not timeless.
Regardless of rules, no one can take away the greatness of Yuna's 3-3 or the speed across the ice. Likewise, no one can take away Jeff's intricate steps or the soft stroking and airy jumps of Mao.