I've said it before, I'll say it again.. measurements are abstractions or models---they take a very rich behavior and describe it with a few numbers.
The problem with measurements is not that we can't get the data. The problem is how to abstract that data into meaningful numbers.
For example, if we pump a signal into an amplifier, then read the output with an A/D, we can get megabytes of data out of that. But there are two questions: (1) What signal do we pump into it? (2) How do we interpret the results?
For example, we could put a sine wave into it, and then run an FFT on the output and compute the value of each harmonic. That's terrific. But it doesn't give you the whole picture. It doesn't show changes in behavior over time. It doesn't show noise.
We could put a MLSSA signal into it and compute the transfer function. Wonderful. But it's a model of the system as linear. It doesn't capture non-linearities. It doesn't capture behavior that occurs in contexts with another very different input such as a square wave.
What objectivists believe is that we current have and understand a good set of models (abstractions) that completely describe the behavior of the device---and therefore two devices which measure (using these particular models/abstractions) almost exactly the same will therefore sound the same.
What subjectivists say is that the models are complete enough---the abstractions too poor, missing critical information---to make predictions about sound quality.
Saying "you don't have the right measurements" is not to say that you can't pull in megabytes of data, and not to say the answer isn't hidden somewhere inside those megabytes.