The sound outside is 60db.
The headphones producing a 60db noise to cancel the surrounding sound (using ANC) PLUS the music.
So your ear is receiving the 60db surrounding sound PLUS the 60db noise of the headphone (ANC) PLUS the music.
(60db surrounding+60db ANC+music)
Isn’t this worse than turning noise cancellation off? (Because you won’t be receiving the 60db noise that ANC is producing…)
Disclaimer: I’m no doctor here and my understanding on how ANC works might be wrong.
I haven’t studied ANC specifically, but if you use a normal set of headphones, and you turn the volume up to drown out the residual background noise as well as enjoy your music. Say took your headphones from 80dB to 83dB after four hours of listening you would start to damage your hearing.
However, if you have noise cancelling headphones, meaning you can cancel the residual noise out at 60dB and then double the volume of noise by turning it up to just 63dB you would be able to enjoy your music or podcast without damaging your hearing.
The problem I noticed when I studied the volume of people’s headphones is that people actually tend to turn their headphones up quite a lot louder than they should. I personally at one point had mine set around 95dB which if I listened to my music at that level for longer than 15 minutes (which I was) I was damaging my hearing.
I usually turn the music down after ANC is enabled because it doesn't have to be as loud once the background noise is removed.