I think Nolan's approach/idea to realism in superhero films is the ideal approach. That being said, I don't think he executed that idea anywhere as well as the way he described his approach in words. While the realism isn't bad, it is also incosistent. Is it terribly inconsistent? No, at least not until TDKR (IMO). But it is inconsistent nonetheless.
Some examples (note that some of these I have absolutely no problem with but i still listed them because they're inconsistent nonetheless):
-Venom drug and Joker venom are too unrealistic but Scarecrow gas isn't.
-A guy can walk around with 4th degree burns that literally get to your bone (A guy with Two-Face's corrosive burns from the comics would genuinely have higher chances of survival) but white bleached skin is unrealistic.
-Batman wears thick bulky armor despite there being many fabric light materials in real life that offer the same level of protection without weighting him down. It gets worse when you realize that Wayne's Science Division is supposed to be 10 years ahead of everyone but Batman still runs around in dated bulky armor.

-Establishing the idea that Batman can't happen in the real world. That Batman is larger-than-life as much as other superheroes are despite no powers. Going as far as to have shaky fight scenes because "No one can comprehend how Batman would fight in real life because it's not possible". Then watering down Batman's abilities and stripping him of the "world's greatest detective" title because "it's not realistic for a human to achieve that".
-Permanently crippling your protagonist's
leg[/] to show what effects being Batman would have on your body. Then having him recover from a broken back through the most unprofessional & unsanitary conditions while falling from ridiculous heights over and over again. How? Because "he has the will".
-Having a Batman that's been out of the game for 8 years with no recent re-training just go and beat Bane. Even in the comics where Bruce got his back fixed with a psychic, Bruce still had to retrain his body to get in shape to be Batman again.
-Venom drug? No can do. But we'll still have him small brick walls with his bare hands anyways.
As you can see, some of those examples are cases in which the comics were more realistic than Nolan's films. That's not to say the realism in TDKT isn't good, but I can't help but get annoyed when I hear people talk about how Nolan "perfectly crafted such a realistic Batman - the most realistic of them all!" Not the case. I love many aspects of Nolan's realism such as the tone, which I think is perfect. But there is room for improvement while still including more "comic booky" stuff.
For me, the best realism is the one in which the characters are just as heightened as they're meant to be where anything is possible BUT the world around these mythos - the way people react to superhumans, the way superhumans affect the world, etc. - is just as realistic as ours or at least almost as realistic as ours.
There is no reason why you can't have a world as realistic as the Nolan films/Batman: Year One with a grounded mob while still having characters lime Clayface/Mr. Freeze present and a "Batgod" that's the world's greatest detective.