I would say, yes, this is totally an Aspie thing.
One time, while watching a movie with my family, I made the same kind of question that you mentioned, the kind that no one else is really interested in. My stepmom said "You don't HAVE to analyze everything, just enjoy yourself!" and I responded with a smile: "Analyzing IS how I enjoy myself!"
I'm not ashamed of my passion for analyzing things, but I've learned that there's a time and place for it, and not everyone is going to share my passion for unraveling details. I keep most of my questions to myself unless I'm with certain close friends. Through my discretion, I've even found a few people who admire my unusual amount of analysis.
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"I'm a weird dude, and it doesn't always work out in my favor, but the whole thing is supposed to say something: That a weak dude like me, odds against them, can make it, so can everyone else."
-Aleksander Vinter, aka Savant, EDM Producer