Hi KurtisJ,
It's a bit of a stretch from a technical point of view, but I suppose I'd concede that the surround materials on a woofer and midrange driver might "loosen up" with some well-recorded bass from complex dance, orchestral, or jazz CDs.
Set the level fairly loud--as loud as you might listen from day to day, but not a deafening level--and play the aforementioned discs for a few hours. DO NOT load up a CD changer with a bunch of CDs cut at different levels (as most discs are), crank up the volume, and go away leaving your system blasting away. A friend of mine (who should have known better) did this and went off to his job. He came home to find smoke rising from each of his $6000 pair of speakers and the amp, amazingly, still working but almost on fire!
In most cases, I believe that what actually is being broken in is your own set of ears, not the speakers. Your ear/brain acoustical system is learning to accommodate and accept the sound and tonal signature of a new pair of sound reproducers that you're not yet used to.
I've never seen a set of technical measurements before and after speaker "break-in" that showed a particle of difference in measured performance. But hey, barring the aforementioned blunder by my friend, you can't hurt anything.
Hope you love the sound of your new Axioms!
Regards,