Well, as they say, "it's been said many times many ways, Merry Christmas to you".
My message is fairly generic and has been said many times before and will be said many times again, but sometimes people need a periodic reminder about what is really important.
Regarding what we mean by "objective" in this case, there is one huge difference between speaker measurements versus headphone measurements. There is a fairly straight forward objective consensus that a speaker's ideal frequency response is flat for truly uncolored objective sound reproduction. There is absolutely zero objective consensus on what an ideal headphone frequency response should look like. There was research done at Harman International to develop what they believed should be the ideal frequency response for headphones, but this has been an on going development, done by a single company, which has only surfaced in circa 2014. Some people are pretending that this curve is written in stone as an ideal, but the reality is far from the case.
Aside from that there are many dimensions to headphone measurements, including the targeted curve, the compensation curve used to smooth out the frequency response, the equipment used to do the measuring, and so on. Again, people are pretending that these are all solved problems, but the reality is very far from the case.
I think we can all applaud and cheer on the research into a scientific approach to understanding headphone audio production. The community should be encouraged to continue to do the research. Jude and Head-Fi should be given credit for investing so much into this area and trying to untangle some of the confusion regarding what these things really mean. But these kinds of conversations and discussions should be had within the context of the current state of the research, which is no where near the point where you can definitively evaluate the objective quality of headphones by their measurements alone. And people need to stop pretending otherwise.
And despite all this, at the end of the day, "it's been said many times many ways", the music is the most important thing. If people are enjoying their headphones while all the above discussion is going on, that is really all that matters.