It all depends on design. Big motors and acoustic suspension will dominate response on high quality drivers - spider and surround compliance being negligible. On low quality drivers then you can fully expect the manufacturer to recommend a break in period - this is because the response of poor quality cheap drivers will be affected by minor things like spider and surround.
On high quality speakers the drivers should be ALREADY broken in by extreme stress testing like in these two test examples (especially watch the second test on a small driver which is totally extreme)
https://youtu.be/ZEBICv7QPDM
The following video shows how drivers are built and individually tested from the ground up.
https://youtu.be/HJHul8HgbPs
Many speaker manufacturers are simply using mass produced OEM parts often they don’t even run multiple tests except a go no go (it works or it doesn’t). Mass produced parts produced for a large market of speaker builders are designed to be easy to build and reliable with low reject rates. This means performance and tolerances are much looser with design considerations weighted towards reliability and ease of manufacture rather than pure performance. These speaker manufacturers may indeed recommend break in as parts may not have settled thermally and mechanically....having never been tested thoroughly until you receive your speaker.
On high quality speakers the drivers should be ALREADY broken in by extreme stress testing like in these two test examples (especially watch the second test on a small driver which is totally extreme)
https://youtu.be/ZEBICv7QPDM
The following video shows how drivers are built and individually tested from the ground up.
https://youtu.be/HJHul8HgbPs
Many speaker manufacturers are simply using mass produced OEM parts often they don’t even run multiple tests except a go no go (it works or it doesn’t). Mass produced parts produced for a large market of speaker builders are designed to be easy to build and reliable with low reject rates. This means performance and tolerances are much looser with design considerations weighted towards reliability and ease of manufacture rather than pure performance. These speaker manufacturers may indeed recommend break in as parts may not have settled thermally and mechanically....having never been tested thoroughly until you receive your speaker.