And a lot depends on how you present the "unrelated" information.
I know of a fellow who was the successful candidate for a senior financial position with a well-known multinational. The interview process went on and on, passing from one interviewer to another. He had a classic brand differentiation problem. How could he stick in the awareness of all these guys? As a young man in a rural state, he made $$$ by trapping. He somehow managed to work youthful work experiences into his interviews. His exit line was something like, "Nice meeting you. I don't know if you'll hire me or not. But I'll tell you one thing -- if you do hire me, I'll be the only guy here who's managed a trapline."
He could pull this kind of thing off -- granted, not everyone could -- because he looked like Mr. Brooks Brothers. And yes, his credentials got him into the race, but the same could be said of all the other candidates.
Ya know, this has made me want to go out and hunt a job, except I don't actually want to work. Maybe I could go out just for the fun of the hunt and, if successful, could subcontract it to someone who needed it.
Added: Best "unrelated experience" I know of was a lawyer who eventually ended up as a "government affairs" -- i.e., lobbyist -- kind of fella. He worked his way through college as a borscht belt waiter/comedian in the summer. He was a brilliant guy. No one knew as many jokes or could tell them as well as he could. Asked if he planned to keep his hand in the trade during retirement he replied, "I never, ever, ever want to hear the words law or government again." At the retirement send off our boss said, "He's the only lawyer in the damn department who doesn't tell you how to make a watch if you ask him what time it is." (not everyone laughed, as I recall) His hobby was archeology, and he then left for an extended trip to tour South American ruins.
Okay, I'll stop now.
Happy hunting to all job seekers.