I have the opposite problem: any words I hear spoken in the vicinity directly interrupt my brain's language processor (which is single-threaded) and breaks any chain of thought or writing attempt.
As far as anecdata, I've worn noise-cancelling headphones at least 40 hours a week for the past 18 years. Granted, my formative years pre-date noise cancellation, but I haven't noticed any impact to my hearing or audio processing. Pretty sure I'd be listening to music much louder without noise cancellation.
I agree that I have taken care of my hearing despite doing what I want for the most part.
Now with small aliens roaming the homestead, being able to tune it out to access the well developed trained focus mode is useful.
At the same time, I'm not sure if anyone's using apps like Brain.fm or Endel to help keep some noise going to the brain, just not silence.
I have used brain.fm for a lot of years when I'd remember to (meaning I needed it), and recently started experimenting with Endel, which has been more useful than I anticipated.
I want to say it's normal, but it's also known as sensory or auditory processing disorder and it's not uncommon in neurodiverse people. Learning some lip reading or just observing someone's mouth movements helps me in those situations, but it's far from ideal.
And heaven forbid I try to speak a word or two while typing. Very often I type what I meant to say, and vice versa.