That's not how active noise cancelling works. Any difference in sound you may notice is either due to the headphones simply having good padding or due to the noise cancellation making things seem quieter in general because it will be effective at cancelling out the plane's engines.
You know how everyone has the right to free speech, but saying some things makes them an asshole? Same situation. Legally you're allowed to bring babies on a plane to to a movie theater, but doing so makes you an asshole.
If you can't understand that then you're an entitled prick.