Yeah the ADR with Bane's voice just wasn't mixed or layered well into the movie. Compare this here where you're looking at a Bane's face with all of this subtle noise in the movie, the "on-set" voices of other people and then Bane comes in and says, "YOU'RE GOIN' TO BE GOTHAM'S RECK'NING!" and then think of how, say. Darth Vader's voice is dubbed into the Star Wars Trilogy.
And the accent was just.. Odd. It didn't bother me quite as much as it has others, and never felt the Connery connection but looking back I can hear it. But it didn't seem to "fit" the character and it didn't sound like Hardy's natural voice.