You're almost right in so many aspects it unfortunately becomes utterly wrong.
Digital and analog noise aren't real things, or at least not the words that are used for it. Digital and analog noise has to do with signals and frequency spectrums, not with the actual pressure differentials that are physical sound waves.
But there is a similar concept, where a thing happening can create a strong pressure wave, typically called an air blast, and are common when talking about blasting and other explosions (where the pressure wave is significant, but not really a noise). Ear pods do not create a significant pressure wave.
The ear does have tiny hairs for hearing, and they do break at sudden and loud noises (@soleinvictus explained our defence mechanisms brilliantly in another reply) and also at repeated exposure to loud noises. A breakage typically results in partial, temporary, hearing loss and "ringing in your ears", whereas permanent death of the sensory cells leads to tinnitus, which isn't the same as hearing damage/loss.