I don't work in the industry - but I would say have it with you just in case. I presume it shows stable employment, and a career that makes some kind of sense. If you don't have it and they ask for it, I fear they will assume the worst (unreliable, can't keep a job, etc., etc.) Just explain what you did in your post here. I don't think most shops really hire super-qualified people (at least from what I've seen locally, for part time seasonal except mechanics) and everybody starts somewhere. Your resume CAN show you have a good work ethic, even if it's not related.
Most days in life don't stand out, But life's about those days that will...