As an EE, this subject always makes me smile
High end gear and cables suffer from a peculiar conundrum: whatever superior qualities they may or may not have, they are BY DEFINITION not measureable when compared to standard quality versions of the same. If they were measureable, we might see the old "spec wars" of the 1960s reappear, but we don't.
OK, so they cannot be measured. That doesn't mean that the super-fabulous Amplifier/Cable in question isn't better, does it? No, it does not. But that would indicate that we are measuring the wrong things, or have insufficient resolution to "see" the differences.
However, in engineering you really can't
design something to do what you cannot prove or measure. You may claim that you are, but it is really shooting in the dark at best. You might stumble into something, but that is all.
So when I hear claims about fabulous interconnects at many $/ft, I laugh. These items are NOT engineered, they are marketed to people who need to feel that they are hearing a difference. Sorry, but over a 12 foot run there is no speaker cable on Earth with any plausible advantage over 14 or 16 gauge lampcord driving 8 ohms - it is right there in the very same math one uses to design the amplifiers. The same is even more true for low-current cables such as line-level interconnects or headphone cables. There is nothing, nada, zip to that voodoo, but you can sure convince yourself otherwise by using more emotion than reason.
So as to break-in: I will grant something (but not much) to the idea of breaking in a mechanical component such as a speaker or headphone. As to solid state electronics, no. Previous posters put it right - over a long time components will degrade, but 2 weeks of running a brand new amp will create no real differences, only imaginary ones.
Next question: do you suppose my favorite MP3 tracks will become "worn out" by playing them so much? They don't sound as bright to me as they used to.

Must be some of the bits being rubbed off by the hard drive head, and it somehow makes sense that these would be the bits that represent high frequencies...