Blind tests are useful to observe potentially audible differences, if these would have been first measured and proved. Long-term burn-in of electronics is not a thing. At all. Warm-up is, however, but a gear that would perform very differently after warm-up would be a bad design to begin with, which is not the case here.
Speaker burn-in is another story. It could need for further investigations (blind test for, say, one speaker brand new VS the exact same one, but several months old). The very few measurements available aren't proving anything significant. My two cents: drivers burn-in is very short term, and is then already done in the production chain anyway. But claiming significant difference after dozens or hundreds of hours is just ridiculous.