As to the 'warm up' of electronic equipment, I give that only limited weight. Solid State electronics are ready to go pretty quickly, and need little warm up in my opinion. They many mellow with an hour of use, but that has more to do with heat in the output stages than anything else. Heat that is no there when the amp is idling for an hour.
As to break in of electronics, again, any change is going to be subtle.
As to speakers, this can vary from speaker to speaker, but seems a very real and proven thing. Speakers do need to be flexed a while before they finally fall into their best.
With my speakers, this was limited to bass. When I first heard the bass on my Diamond 9.6, I thought I had made a horrible mistake. It took 3 weeks of normal listening for 12 hours a day, before the bass came out in full strength. That's about 250 hours of play with, in my case, the bass on full.
Recently I read a review on some, I think, Dynaudio bookshelf speakers. The reviewer said they sounded terrible right out of the box, but with considerably hours on them, they went from terrible to absolutely stunning.
So, yes, expect your speaker to get better as they get a few hours on them. Beyond that, don't worry about it.
Steve/bluewizard