It would be inconclusive.
Not all drivers are exactly the same. There are manufacturing variances in every one. Manufacturers typically test drivers and then match pairs that sound alike.
There is every chance that your new driver won't sound like your old driver due to variance. Not the length of time it had been played. In other words, the new driver an old driver would have sounded different even at zero hours.
A better way to test "burn in" would be to give several pairs to someone. Some pairs would have several hundred or more hours on them and others would be unused. Then ask the person to "burn in" each pair and record notes of sound changes along the way.
The "burned in" pairs ought to show no change in the subjective listening while the new pairs won't. Assuming "burn in" is real, of course. My guess is that the participant would hear "burn in" in every pair and that proponents would interpret this as a sign that headphones continually age to perfection, like wine.
And if anyone believes that, I have some capacitors and resistors to sell you. I've removed them from old radio sets where they've been burned in for a good 50, 60 or 70 years. What could be better? Granted, they don't measure very well. The good news is that measurements are meaningless and test gear is not good enough to measure burn-in or the effects of cables. I'll be happy to apply ProGold to these compoments and I'll also drop them off at the local cryo facility for a $10 freeze. Of course, my time and labor mans that the cryo will cost you $200, but it's totally worth it.