I have a slightly different angle, as someone who disagrees with the objectivists even though I still consider myself an objectivist. In fact, I currently have a Benchmark AHB2 amp sitting in my living room, which I've had for about a year. This should make the "objectivists" happy. I measuring well equals good, this is objectively the best amp ever built. It's connected to the same company's DAC1, which I have owned since buying one, in person at the factory, in 2002 before Benchmark had any idea they were going to become an audiophile company (and the DAC1 still sounds f-ing amazing). I have also owned a some tube gear.
I don't know why I'm jumping in here but I have a very different take on this oft-repeated debate. I used to live in France and over there I found a used BAT tube preamp in France, really cheap, a $10k machine for three digits. It lasted three glorious years before it died (and would have cost insane money to repair). Sticking that thing between my two hyper-accurate components (I had a similarly "clean" solid state amp) was like going from 1920's film to 4k HDR video. The difference was JUST INSANE. Nothing has sounded as good since.
So look, I accept as an objectivist that I likely added distortion. But what exactly are we trying to do? Here is the problem with the "objectivists" in these online debates: they also tend to be reductionists, which is just about as dangerous as being irrational. If the purpose of hifi is to create some kind of mathematical reproduceability from sound, we already know how to do that. Talk to the folks who build DA and AD converter chips. It is old tech to go from one to the other and back and have a signal that is measurably identical to the original.
That isn't hifi. By the rules of the objectivist, the things that audiophiles want to do (e.g., make their living room sound like a symphony hall), are IMPOSSIBLE. It is objectively impossible to do that - living rooms objectively don't sound like that. No speaker that I have ever heard accurately reproduces the sound of a very low organ pipe. It is objectively impossible for a speaker that fits in a normal house to do that.
One has to be slightly less reductionist (and a lot less dogmatic) and take a step back and look at this like an engineer. What are the design objectives? Hifi has certain features (for example, having a right and a left speaker) that are inherently designed to fool the human brain. The anti-objectivists' arguments do not need to rely on some yet-undiscovered natural law. It is actually a natural phenomenon that has already been discovered, but which is far less understood than sound waves: the human brain.
Once hifi is understood this way, as akin to an optical illusion or a brilliant bit of stage magic, rather than something like the Space Shuttle, the anti-objectivists start to make more, well, objective sense. The design brief is to use technology to fool the human brain into hearing something that sounds real, with a GIVEN that it will never approach something truly identical to the actual performance. The goal is NOT to achieve some kind of on-paper engineering victory that no one could appreciate without having measuring equipment and practically being an engineer themselves.
All of this equipment falls short, no matter what all of these graphs have convinced you. HOW they fall short, and how our brains make sense of that, is up to individual taste, which for sure cannot be measured. This is why the audio market manages to support so much diversity of products and companies for its small size. I tend to pick very accurate equipment because as an objectivist, the burden of proof will always be heavily on anything that is adding complexity - which usually means inaccuracy. But if hear something that my ears tell me sounds a LOT better, and I deny it because it can't be true based on measurements? Sorry, denying observation is NOT being objective - quite the opposite. It's more like being a flat-earther.
I've built seven pairs of speakers and never used a metal cone. Why, if they are more accurate? For me their decreased sensitivity drives the amp much harder and the whole thing sounds different - and not often better. The speaker and the amp interact electrically, the speaker cone interacts with the air mechanically, and every link on that chain affects the performance of the link above and below it. Most of this can be measured and this is useful data. However, it takes a lot of hubris to think that any one of these components can be "transparent" or "perfect" - they aren't.
In Benchmark's AHB2 manual, there is a blurb begging the user not to put a preamp between their seriously accurate DACs and this power amp that exposed errors in John Atkinson's measuring equipment. I am mostly with them on this, but it must be understood as their vision of their uniqueness in the marketplace. Not everyone wants self-pick, self-assembled, Danish-style, laminated, particle board furniture. Ikea still became the most successful furniture store in the world because they had a vision and stuck to it, and a lot of people bought into it. Other companies also have audio engineers, dealing with the same laws of nature, who also build very good amps that are supposedly hyper-accurate. Trust me: they ALL sound different.
Sorry for the long post - it's a habit - but I really don't see the debate. Unless you're arguing that ears aren't connected to brains and/or we already know everything about the sensory part of the human brain, we are just arguing about taste. No one should be 100% sure about anything - that's hubris when the brain is involved, and is akin to the Pope refusing to look into Galileo's telescope.