I still think that ANC is good for the ears by reducing the needed volume in every day situations. And it also helps that most ANC headphones are designed in a way that also passively isolates the outside world to reduce the burden on the ANC and as a side effect also on your ears.
Hearing is literally "pressure [changes] on the eardrum". Unless it's outside the frequency range of our hearing, if there's waves hitting your eardrum, you hear them.
So either you're not expressing yourself clearly enough our you've seriously misunderstood how sound works.
Constant elevated pressure created by ANC working to destructively interfere with an external sound waves is not perceived as sound.
But it is extra pressure on the eardrum.
BTW where in the video do they mention elevated pressure?