Hi Brownee,
All speakers require som break-in.
As Hugh says, there are a number of caps in the crossover, which all require some break-in time.
Apart from this, all ordinary speaker drivers require some break-in. This break-in is purely mechanical and is caused by the suspension of the diaphragm (irrespective of whether it is a large diaphragm or just a tweeter). This suspension requires some break-in to reach its intended softness.
Having heard the Aksonics at Hugh's I can only recommend these speakers. They have a high resolution and a fine soundstage, and even though some might think that they lack some bass it is merely a question of getting them adjusted properly to the room - or, if you have a very large room, to add a capable subwoofer.
Cheers,
Jens