The only explanation I could come up with, regarding the often complained scenes
1. The worst offender: Bomb blasts inches from Batman's face yet his jaw comes out pristine.
2. Thugs never hit nor shoot his exposed mouth (or eyes.)
3. The police didn't try to open his cowl earlier when he was unconscious.
Those scenes contrast with the whole hyper-realistic tone the movie seemed to try achieving.
I think... and this is only my wild guess... is that the script was originally written with Batman wearing a full-face helmet in mind, Iron Man style.
I mean, it would be more realistic that way. Having exposed parts like the eyes and mouth is needlessly dangerous and in this age of face-recognition tech we can get Batman's identity in like 10 minutes.
This leads to my assumption that in the original script, Batman's suit must have been designed with a completely closed-up tactical headgear. It'd make total sense, in my opinion.
But maybe the producers thought it ruins Batman's iconic look and they couldn't alter the story so much without entirely rewritting it. Therefore, they simply make the movie as if Batman is wearing full head protection, but keep the original script / story intact, and just treat the actual Batman's cowl design used in the final product (with classic openings and everything) as an arstistic license.
It elegantly solves almost every major complains those bizzare scenes created. What do you think?