I can't hear a difference in that video. Maybe Youtube broke it?
It's not the best headset in town but it should be more than enough to hear the difference.
edit: the switch at 6:10 is very noticeable to me (shure se215) but tbh they both sounds bad, and it sounds just as bad on spotify so youtube's compression isn't the culprit
This is when I suspect the differences must be minuscule even without hearing the comparison. Bose headphones are way better (and pricier) than what most people use. The sound canceling alone should make significant differences evident.