In terms of "getting used to the sound", whether break in was a factor or not, I have had more speakers I liked LESS after spending time with them vs more.
So when you purchase a new pair of loudspeakers you just put them in a tool shed and "burn them in" before your first "listening session"? Or you play for hours, even days with the setup and when you finally get it right you reflect on how they sounded "out of the box"? Yeah, sure, they must have "broken in" and that's why they sound so much better now...
Well in my audio world I have definitely "broken" in speakers without listening to them during a fair chunk of the "break in time".
So while as a hobbyist I am no expert, I have to say there is more than just spending time involved here. It might be psycological in that I expected a change and/or that my "brain" quickly adapted to the new sound, however in some cases it is not likely that it was due to getting used to it over a long period.
Again I am more than willing to accept that most (if not all) of listening to new speakers is learning to hear them.
That said.
Essentially what I have experienced and am willing to consider possible break in in the face of --- 1. A mild "freeing" of the sound - from slightly stiff to something "less stiff". 2. Slight changes in the sense of congestion in complex passages. 3. Some added bass. 4. And this one has been the most notable for me is Trebble. Sometimes, on some speakers the trebble has changed, usually becoming slightly less "fake" or "more nuanced". Even more pronounced a "dark" quality being replaced by a more "vibrant" quality. (SB Acoustics neo dimple dome tweeters)
All of this can be attributed to something OTHER than driver break in. AND it might very well be break in.
And again anything that changed I experienced as fairly subtle.
The bottom line is drive unit break in does happen. But the significance of how much varies. Tweeters? Meh. Woofers with poor QC? Yep.
Interstingly to myself is that folks are more skeptical of tweeter break in than woofer. Those rapid tiny movements sure could be affected if the materials in the tweeter surround or even dome itself, needed some amount time to "settle".
Obviously the woofer spider and perhaps surround are "break in" suspects. I have a new in box B&C pro driver here whose spider and especially surround are stiff enough it actually seems strange.
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Be cool to see if HD, IMD and compression characteristics change at all. Also especially with stiff cones like metal, how much do they rely on the surround and spider to help mitigate break-up and ringing?