Im not trying to sound like some sort of speaker manufacturing expert here, but I do have some knowledge of physics and mechanics. I (almost) always hear the same reasoning about a break in period... the spiders will wear in unevenly, the spiders will tear due to their abnormal stiffness, etc. These reasons fly in the face of my understanding of what happens.
Since the spiders are stiffer to begin with, they will restrict motion more. This does not mean more stress, as they have the same force being applied to them as they would if they were already broken in. The less motion simply means excursion will be (slightly) less. Less travel distance would imply less likelihood to tear, not more. And again since they are stiffer to begin with, and excursion is reduced, seems that running the speaker at lower power than normal operation would only serve to wear the spiders unevenly compared to when the speakers are played at full tilt, not the other way around.
Not being argumentative with you guys, just wanting a more in depth discussion on this topic.
Thanks for the additional info rabbit.