He definitely gets scrutinized plenty. I mean everyone is looking for the Reeves Clark/Superman in MoS but they weren't looking for a Keaton in BB. I'm sure no one wants a Clooney or Kilmer Batman again so I won't count them.
And really, Nolans Batman isn't really the Bats we know. I mean really, he didn't do much detective work in any of the trilogy films. He used some gadgets like that scanning machine to determine the bullets trajectory or some other mumbo jumbo that pretty much led to nowhere in TDK. Hell the Joker was always one step ahead of him throughout the whole film and that is suppose to be Bats in his prime. Bruce couldn't even deduce who Crane was working for in BB and he couldn't deduce that Bane wasn't working alone in TDKR. He showed some signs but I seriously wouldn't mind seeing a film that is just full of detective work similar to the arc Hush.
It also lacked action if you really think about it. Nolan did a great job filming and the script and everything so it becomes less of a problem but for a Batman film, there could be a bit more action. And the action scenes we got, was kind of confusing. Like the first time Bats comes out and takes out those guys in the docks, I had no idea what the hell was going on.
Bruce wasn't the Bruce we know, they barely showed him as a Socialite Bruce, Nolan got no flack for not showing the charming and charismatic Bruce, he was actually more of a d*ck than the humanitarian playboy we have come to expect. But with Clark, they expect the Reeves version when he wasn't even working in the Daily Planet yet.
I know others will disagree but those are just some comparisons I could think of where Superman hate is just there because he is Superman. I guess Nolans shines better as a director than Snyder do too but some of those problems seems to get a pass with Batman while it becomes a huge problem with Superman.