I like analogy's like this. Not in love with this specific one. It feels like OP thought of the first two hats and then tried to think up other hats, rather than have the nebulas idea of different ways of working and structured the analogy around it.

Analogies should "simplify" not complicate. If you're ever writing an analogy and think "How can I add more meat to this? You know, enough to make it worth sharing in a blog post?" you're on the wrong path.