Here's an idea of an ABX of a driver, but it's very labor-intensive.
What you'd need to do is to replace the driver with a burned-in one and do that without damaging the headphone or distorting it.
This could also help estimate the magnitude of the effect (use a few drivers that have been burned-in differently).
To remove possible "mechanical" burn-in, you should use the same frame that's been "burned in" by long-term usage.
The "installation" error can be estimated by just removing and replacing the same driver multiple times.
The headphone has to be designed so that it's possible to replace the driver easily and it's not possible to discern the driver.
A measurement would be good for estimating whether the difference exists, while such complex double-blind test would be good for checking whether that change is audible.