What scientific properties and special api tests that make an analysis irrelevant?
Let’s back up for just a bit, and try and understand why you thought those parts per million are actually relevant, and why they don’t add up.
A fully formulated oil has many additives. Each of those additives has elements making them up.
The performance of the oil, of this complex formulation, comes from how those additives work with that oil under the conditions found in an engine.
The problem with a spectrographic analysis, is that you’ve taken complex chemical compounds, which have different performance parameters, and broken them into their elemental components.
By way of analogy, that’s like taking a paragraph, and breaking each word down into letters.
The paragraph was either good writing, or it wasn’t, depending on what words were used, and how those words were arranged.
You cannot simply add up the numbers of each specific, alphabetic character, attribute significance to the frequency with which each letter shows up, and figure out if it was good writing.
I can reduce a human being to about seven dollars worth of basic elemental compounds. But it is how those compounds are arranged, and how they perform when in that complex arrangement, that matters, not the weight of carbon, or calcium, if I did a spectrographic analysis of you.
I could do the same thing with a car, reduce it to its basic elements, so much aluminum, so much iron, so much carbon. And if I were to then ascribe significance to the PPM of titanium, or the PPM of boron, or aluminum, it still wouldn’t tell you whether we were talking about a Kia or a Ferrari.
A spectrographic analysis simply cannot tell you those things.
So, the flaw in your reasoning - that a spectrographic analysis can determine performance - is that somehow you are ascribing significance to numbers that are truly meaningless.
What matters in evaluating a formulation, is how it performs in testing. The Spectrographic analysis is interesting, but it does not indicate what you are claiming it does. It is a reduction of something complex into basic parts and that doesn’t tell you much about how well those parts work together.