I encountered this on the Tube probably 5-6 years ago - I was admiring a chap's Nomos, but couldn't work out what timezone it was set to. Turns out it was the "I just picked the watch up and stuck it on my wrist" zone; we didn't talk enough to work out if he was just in a rush that morning, or if it's just a bangle.
Not having the correct time on a wristwatch would drive me potty - it throws me when I notice my wife had forgotten to wind her watch - I don't see the point of not using a product/tool/item for its intended purpose, but that I've never had a reputation for having Warhol's artistic streak or any sort of fashion sense what so ever, so what do I know?