I usually do, but I don't think it's particularly necessary. Whenever I've been involved in hiring, I can't say I particularly cared either way. But then... at some point hiring decisions get pretty arbitrary so it's hard to say what actually nudges you.
When I'm being interviewed, I try to work in some personal interest or hobby topic. Like at my most recent interview, the interviewer and I chatted about horror novels at the end of the interview for a bit. I sent a follow-up email with a sentence of thanks and a couple of book recommendations, plus I told him I grabbed an ebook of one he mentioned to read on the plane back. At that point it wasn't like Interview Etiquette Strategy, it was just being collegial.