> I very much disagree with this.
Your disagreement is justified. I phrased that poorly. I meant it as a shorthand for "incapable of being trained to write such a paper". Showing that you already have the skill is proof, everything else just points to the possibility with varying degrees of accuracy.
I in turn disagree that "the purpose of schooling is to train people", at least if "schooling" refers to PhD programs. I think it's more that there aren't enough applicants who are able to perform without extensive training, so in practical terms PhD programs need to be willing to provide training. But at the same time, it's perfectly understandable that they would prefer to take applicants who have demonstrated ability to perform over those with statistical potential.
I'd prefer something like "The purpose of PhD programs is to advance the field". I'm personally in the odd category that I've co-authored several computer science research papers despite having dropped out to become a programmer prior to my BA. I've demonstrated my ability to perform much of the role of a PhD while simultaneously demonstrating that I perhaps shouldn't be relied upon to finish!