Logan knew Jedi, but he didn't know Jedi culture or the nuances of their universe other than what the movies let him know. He knew about the Force, and he knew that they could feel it here, but that was the extent of his knowledge. He also knew they were damn good fighters, and he respected the hell out of them. So when she said he was exiled the only conclusion he drew was that she was kicked out for some reason that he really didn't care to know.
But she gave an abridged version, regardless.
"No, don't think I've met those people here," he said. "I know Ahsoka, and Anakin, but only in passing. There was a Ben Kenobi here, too." And a few others, but they weren't really Jedi. "Those names familiar to you?"