I tend to believe "burn in" is more of the brain, then the headphone. I'm sure we all have to get used to a new sound signature, with every "upgrade". I have no doubt there is a settling in period for most audio gear, but having an audible difference being heard is questionable.
Maybe I'll believe in burn in more when I get into tube amplification...
If you end up believing in it via tube amps then that'll separate you from me. The tubes altered the sound of my old LCD-2.2's a bit but the tubes themselves didn't "burn in" past the first hour.
I definitely believe that most "burn in" has to do with the psychological adjustment to a headphone. My first "good" headphones were the M100s. I bought them because I liked the Monster DNA and Beats Mixr a lot (bass, baby!) but wanted to try something higher quality. To my ears, the M100s were kinda bass-light. It took some time to acclimate to that sound. I then sampled a set of LCD-2f's and thought there was NO bass to them because, well, my ears were still coming off of the big-thumpers.
Then I bought stuff like the Final Audio Pandora VI and some pre-fazor LCD-2.2's. After listening to those for a while, the M100s sounded really thick in a way they didn't before. Of course, if I listen to the M100s for a few days, going to the Pandoras made them sound really sharp.
Zap forward a ways and I bought the HD600s, a headphone that would have sounded like an answering machine to my old Mixr ears that now sounded awesome but just a hair too chilly, and the HD650s hit the perfect balance. And NOW when I throw my SE846 in I find the bass to be more prominent than I'd prefer in most (not hip-hop) music. Meanwhile when I first heard the HD650s I thought they were an excellent headphone but more sterile than I'd like.
No one, NO ONE, has a "baseline" upon which to judge headphones. We obviously have preferences, but we're adaptable creatures and given enough time we can adjust to anything. Make a rap fan listen to folk for a month or vice versa and they'll come out of it with a long list of artists they love and a newfound appreciation for it.