I just finished auditioning new K701 and HD600. After reading all of the arguments about burn-in I was fairly skeptical. But I dutifully played the cans night and day just in case.
When I first got the K701 it sounded shrill and rather ragged on the high end (at least to my uninitiated ears). After a few days burn in the highs seemed a little smoother. It also seemed to have developed a real nice deep vibration on low notes, although that deep vibe didn't seem very well connected to the rest of the frequency spectrum, almost like a separate band.
Then the HD600 arrived. It didn't have any of that shrillness. It was rather warm but didn't extend as low in the bass as the k701 on the same passages. Hmmm, so I thought K701, not as much high bass warmth, but deeper extension.
By the time they were both well burned in (>350 hours for K701, >250 hours for HD600) the K701 had developed a very smooth, connected frequency response from bottom to top, no more of that interesting but disjointed low end vibe. And the high end was smooth, no more roughness (I don't think that was all simply my ear getting accustomed, but of course that's possible). The HD600 now has a very similar low end bass extension to the K701.
So, at the very least, the low end extension of one or both of these headphones has changed. The K701 frequency response became better integrated. I think, but can't prove, that the high end response of the K701 became smoother, still emphasized, but smoother, less jagged/distorted. I believe the K701 changed by a significant amount. The HD600 may have changed a little or not. But the comparison with K701 changed.
I'm a believer.