Interesting video. Oblective measurements can be very helpfull as he points out. I think most people would agree. I would not buy any speaker without looking at the objective measurements.
However, I'm not convinced that the sound can change that much (if at all) by using more expensive components if the values of the crossover are identical.
Make sure you compare an apple to an apple... A blind test of two identical speakers one with expensive parts and one with lesser expensive parts. (I did not say crap/junk parts) Lets say Nichicon vs Dayton. The example Danny using the three different speakers proved nothing. Too many variables.
My bet would be if people knew in advance that there were expensive parts they would subjectively hear improved sound. This mental bias is a powerful thing. However, in a controlled blind test I doubt they could hear any difference at all.
Years ago Peter Snell would go to dealers with one cheap crossover and one with the most expensive parts. He could quickly switch crossovers by unplugging them and switch them out. He proved over and over that NO ONE could tell the difference in parts quality. Just because it cost more doesn't mean it's better.
I'd like to see Danny do the same subjective test as Snell.