It's actually pretty widely agreed upon. Here's the problem, I'm not talking about the debate over what measurements represent classic audiophile cliche phrases (i.e. the speakers sound lightly musical and encompassing), I'm talking about comparing the FR, waterfall or CSD, IR, Harmonic or IMD, polar, phase, MLS, autocorrelation, voltage, dielectric capacitance, impedance or resistance, (it all depends on what product we're talking about) in an A/B comparison with and without the product. Knowing what quantum tunneling is, I know it has no impact on acoustics, yet some devices are sold as if somehow it improves the way it interacts with air pressure. For any company to make those claims and not have an independent lab make an A/B comparison of the difference is beyond me. It would be akin to saying if you buy the red mustang instead of the green one it'll go faster.Can I write down my 2 cents?
First you have to specify what measurements and with what degree of accuracy you consider relevant. Only after you can define what you mean by "measurable difference". I think this is the main source of disagreement. In my professional life (I do research in radiation detector development) we only use objective data, but we know exactly what to measure and the relevant specifications for the problem.
But as far as I know there is no agreement on a standard set of measurements for high-end audio.
I personally can't name a something that actually produces audible change that isn't represented by some form of reasoned analysis. Some products are sold that openly defy very well understood elements of physics or electrical engineering, don't represent any measurable change in a system, and yet are heralded by audiophiles for their audible benefits. We don't have to agree on what sounds better, let's just agree on what doesn't make any difference to begin with. Understand that some products really don't work, and any perception otherwise is just a representation of product bias. To believe in something that defies well understood elements of science, has no rational explanation for working, produces no measurable differences in a system is akin to believing in magic. If I put this here, magically everything will sound better. If only it was that simple, lol.