"Yes," Marek said with a grin, unsurprised by the fact that she mentioned knowing quite a bit about him from his wand. "Can you tell me what my wand says about me? You don't have to tell me how you know, just what you know."
He really was curious. If he was walking around with an autobiography up his sleeve, he might as well know what it said, right? He didn't really care if she told him which part she'd interpreted from the wood, which part from the core, he just wanted to know what all of it meant. He likely wouldn't be able to remember the details of it even if she told him, anyway.