I think that Dick Button, skaters who envision themselves artists, TV producers, and lots of fans would like figure skating to be an art form that happens to demand a high degree of athleticism and technical skill. I.e., an athletic artform.
I think the ISU and the IOC want figure skating to be a highly technical sport that demands great athleticism and that tends to be aesthetically pleasing when performed with good technique, i.e., an artistic sport. It allows for, rewards, but does not demand a component of artistic purpose and audience connection that transcends technique and athleticism.
The first group would believe that the "best" performance is one that produces the most satisfying aesthetic response in the audience. That may or may not be the most difficult or the most technically sound performance. Good execution has its own aesthetic value, but difficulty is not valued for its own sake, and fine details of execution that mar the impression for skating purists are often invisible to casual viewers.
The second group would believe that the "best" performance is one that displays difficult skills performed with good technique and athleticism to make those skills look good, and if possible to go beyond technical excellence to include artistry as well. But the technique is primary.
As long as competitive figure skating is an Olympic sport evaluated under rubrics of higher faster stronger, the second group will define the sport. It can add "more beautiful" (or "more musical" or "more heartfelt" or "more creative" etc.) as other important criterion that matter and are actually scored in this sport, as opposed to other sports. But because those qualities are more subjective than whether or not the athlete rotated 3 or 4 times in the air and landed on one foot, or achieved a defined spin position, or performed the required number of different steps and turns in a step sequence, those subjective qualities will never be the primary determining factor in determining the winner of the athletic contest that is competitive figure skating. There's a lot of pressure from the IOC for the ISU to keep the sport as objective as possible.
Under 6.0 there was no set formula for how to weight the difficulty and variety of technical content, the technical quality of execution, and the artistic qualities of each performance. Each judge had to decide for him or herself what to value most highly, as well as deciding how much better or worse each skater was in each area.
Under IJS there are formulas, but there is still room for disagreement among judges (and fans and other observers) about how well each skater did in each area, especially the Performance/Execution, Choreography, and Interpretation components.
And there's never any way to predict whether the skater with the hardest elements and adequate artistry will make few mistakes when a skater with great artistry and easier program skates their best, how the personality and charisma of the skater shines through or not, and which skaters' personalities the majority of the public or the judges relate to best, or any other combination of content, execution, strengths, and weaknesses. Under any judging system, sometimes technical content wins out, other times aesthetics win out. And someone is always going to believe their favorite got robbed, if not in the gold-vs.-silver contest, then somewhere in the rest of the field.
There would probably be an audience who would much prefer to watch performances that are judged only on Performance/Execution, Choreography, and Interpretation, perhaps with minimum requirements for technical content, but with additional difficulty beyond that minimum valued less than the aesthetic impact, if at all. That kind of contest could showcase skaters for whom technical content and technical mastery are just tools to serve artistic purposes. Under that format, if there were incentives to attract the most artistic skaters with the best basic technique, we could see artistic masterpieces that don't necessarily fit the higher-faster-stronger rubric. I'm not sure why skating as artform needs to be organized in a competition format in the first place -- most artforms are not -- but if that would inspire skaters to strive for greater excellence, why not?
But the IOC would never accept that kind of contest in the Olympics. So maybe the ISU should develop its own non-Olympic-track (or post-Olympic-track) competition circuit to reward skaters primarily for artistic strengths and to attract fans whose interest in skating is primarily aesthetic. Or they should allow some other organization to develop such a circuit and allow skaters who want to compete in both formats to go back and forth between those events and their own (i.e., pro skating as it existed 10-15-20 years ago with no loss of Olympic-track eligibility).
Let's just say that I believe that for the purposes of skating as competitive sport, privileging crowd response over technique would be a huge flaw. (E.g., if Oksana Baiul is more artistic and charismatic, but Nancy Kerrigan outskates her technically by a large enough margin, I think Kerrigan should win, even if I'm bored by the performance.)
If I go to watch skating as an artistic performance, I want to see artistic skaters, don't much care how difficult the technical content is, and am willing to forgive subtle technical weaknesses that have negligible effect on the overall aesthetic impact.