Ron - I feel your pain. Not that I am in the Post Modernist 'everything is a social construct' camp (very far from it), but the engineers in this space who think that the way music should be reproduced is the result of logically deterministic parameters doesn't just baffle me, it triggers me.
There are two arguments you can use to shut someone like this down.
The first is to ask them if they think their measurement strategy can measure the difference in Bach's cello suites played by say Jacqueline D'upree and Janos Starker. Or if it can account for the difference in greatness between Miles Davis and Lee Morgan, or John Coltrane and Cannonball Adderley.
The measurement may certainly be able to tell you how close to fidelity the sound of a saxophone is reproduced by a system, but can it measure the difference in emotive style between the two people playing it? If the answer is yes, then I may well concede that there is logically deterministic way approach to hifi design that ought to supersede the subjective listening experience. But I don't think there is any measurement system that can do this, and nor do I think there ever will be. I believe (but am happy to be proven wrong), that there is something in the way music is played that transcends logical determinism.
The second argument you can throw in his face is the increasing evidence that human consciousness is itself, not logically deterministic. Most people, including all those vain engineers and bitcoin idiots who believe that AI will approach and surpass human consciousness, still vainly flair in their belief that human consciousness is a logically deterministic construct and that all we have to do is replicate in digital gates the number of synapses there are in the brain (I believe it's 10^15) and we will be there. We're currently at 10^12 so close-ish.
Here's what those people fail to understand; we don't even know what consciousness is, let alone that it is logically deterministic. Why we would assume that is easy to understand (our familiarity with computational devices), but naive. There is increasing evidence that consciousness arises from quantum effects (see the work of Roger Penrose and the recent studies showing that consciousness does indeed seem to be connected to quantum effects:
Study Supports Quantum Basis of Consciousness in the Brain)
On that basis, not only does AI have no possible way of emulating human consciousness but our whole experience of the material world is subjective (which is not to say that the material world is also entirely subjective, just our experience of it). This means that you can both be right. It may be possible to be entirely objective about music replay (from a logically deterministic perspective), and for our experience of it to be entirely subjective.
The question then becomes, to what end or purpose are you putting those measurements to work? If your objective approach results in something we subjectively like, where is the problem?