No one claimed that he deserves top PCS because of his ballet training, so not sure who or what you’re arguing against here.
I get the sense that some people expect sort of very obvious and literal ballet type movements from him, like 'proper posture' and spirals, reminiscent of an arabesque, things like that. I think that’s a very simplistic and narrow view. It’s more subtle than that and more organically integrated into his skating.
People did claim that about his PCS. Otherwise there's no reason to bring up "years of ballet training" in relation to the PCS he deserves and the supposed elegance and sophisticated of his movement. You're doing it too, making empty statements about how that ballet training has given him some kind of great usage of body and limbs in his skating, which you claim factually exists and anyone who disagrees simply doesn't recognize it.
There is hardly anything "organically integrated" about ballet into his skating and you are trying to use another straw-man by saying he shouldn't be expected to be literal balletic. Of course he shouldn't have to do that exactly, but the lack of quality in how he moves is constantly apparent, and if he
were supposedly incorporating those qualities in his skating, then the posture and extension and arm placement would be better. Let's look at his
2019 GPF Long Program. From the very start the shoulders are somewhat hunched, the left arm is slouched and lazily dragging at his side during that first turn he does at the end of the rink, and his left leg barely extends at all in the cross roll he does. Then look at how he strokes across the ice afterward, building up for the first jump. Quite hunched, pumping the back almost, and no real sense of rhythm to the stroking. All of this could be executed with more refinement, and better musical sense and choreographic sense of purpose, and should be taken into consideration with PCS.
Those lacking qualities continue throughout most of the performance. He is constantly in "athletic stance". This is something that's happening with most skaters these days. They are not carrying themselves with enough purposeful form, because the judging and state of skating has lost the sense of how people should be performing, becoming complacent with rewarding people for simply throwing themselves into random positions. The way they are moving across the ice is dictated by a technical sense of simply getting through an element, rather than skating in a manner of "I am going to hold my body in an attractive way, and go into and out of my elements like this."
Look at the specifics of how he goes into and out of that opening jump. He is staring down at the ice, rather than presenting out to the audience, and the arms are held downward with no purpose in the hands, just preparing to clench into rotating position. At the end there is no presentation or sense of majesty to the jump. He is slouched, and the free leg lazily held low and swinging down, and the arms just hanging there. Compare this to Ilia Kulik in 1998 for example and there is a CLEAR difference in how they carry themselves and who has more "balletic influence" to the movement. Kulik keeps his head up, his arms up, the hands extended, the blade stroking has a full movement to each push and the back is held straighter. He enters into his quad with cleaner body line (and doesn't exert such a strain when launching into it), and exits it with his head up, the arms extended, the free leg purposefully raising up after the landing and the blade completing an actual curve on the ice, instead of doing a truncated and purposeless little squiggle like Nathan has on pretty much every jump (he rides up on the toepick and nearly grinds to a halt on almost every jump landing, which is also part of why his GOE's are very overscored).
So again, it doesn’t make sense to compare an actual ballet dancer to a skater, when skating doesn’t even necessarily aspire to satisfy the same standards as ballet does.
Skating COULD aspire to show those qualities, if that is what the program is trying to do. Zagitova clearly tried to do that style with her Don Quixote, and there are numerous problems with her posture and extension that showed a clear lack of quality in comparison to how a SKATER who is specifically trying to move their body in a "fully refined ballet manner" should execute the moves. The ballet dancer is a point of reference. Someone like Sasha Cohen was able to achieve more qualities in that regard.
As someone who has danced professionally, I think it is really a narrow perspective to hold ballet technique as the echelon of artistry above all others.
Obviously, there are many ways to show skill and artistry. The point is, whichever style it is and whatever the reference of quality is, Nathan Chen is not showing a high degree of excellence in terms of his overall form and artistic merit. Hence the example of comparing his entire movement and performance quality to a top ballet dancer...or a top tango dancer, or breakdancer, or "modern" dance, it doesn't matter. Ice skaters, if they are to be deserving of top PCS, should performing at that level, with purposeful and attractive and musical movement throughout an entire purpose. THAT is the point of assessing the PCS (the majority of the categories anyway). The comparison can just be to other skating performances as well, and Nathan is not achieving the heights of the best performances, or the refinement of what others have done. He is simply doing many jump rotations.
) ... and I tend to forget bad things, unintentionally most of the time. But also, including almost willfully forgetting who said what, if someone says something that pushes one of my buttons. It does push a button when someone says Nathan has no artistry or doesn't deserve as high PCS scores as [fill in the blank], partly because both are matters of perception and subjectivity. So I recall the remark, especially since it continues after all these years to appear so often on the forum. But I don't know who said it and I do try not to "keep score." As to why I don't respond in the moment when I see such a comment, I have to let many comments go as much as I can. I am not a lawyer like you 
But IRL, when I go to a comp, I watch skating and clap for everyone and I don't argue. Even if my special faves get just a tad extra applause
