"Something important, I trust." Doubt in his voice, in what showed of his expression.
"I have. How did they kill?" Batman recognized a serial killer when he saw one; these were merely unusual in that they did not seem to try to hide what they were or had done. "They seem surprisingly confident that there will be no reprisal for their actions." A smugness that he found positively offensive, reminiscent of others sociopaths he had seen.
As for boredom, he'd be lying if he said he wasn't concerned. He hadn't been bored since he was a child, but this place... it was possible. Batman was unsure what he'd do if he were. It could be a struggle to keep up the fight, to keep training when it might not be needed, but he wouldn't allow himself to slack off. As for what else he'd do, however, he did not yet know.