1 - Usually the physical break-in is related to the suspension, and its worse for larger, traditional drivers. AMTs have no suspension to break in so there’s no history I’m aware of that those tweeters ever "break in" but certainly I’ve heard the capacitors in series break in.
2. I’m really surprised this happened, AMTs are incredibly reliable and consistent performers. More likely you are hearing a new model.
3. Drivers require a lot of careful analysis to properly integrate with other parts of the speaker. We often read in DIYaudio a story like "I have this 20 year old speaker my grandfather left me and I got these tweeters on e-bay, how do I put them together?" and often the answer is they are better of making a pre-built kit because the knowledge and measurement and care they will need to fit a random part into a speaker is too much for a first time attempt.
And oh, yeah, DIY speakers can be tremendous values. If you want to "upgrade" your fancy speakers, sell them and DIY a new kit. You’ll be better off in so many ways. The only real benefit of this approach is how much you learn, but if you are modding a name-brand speaker your learning experience will often be a lot cheaper with a new kit.