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Your brain is sitting in a sealed, completely dark room with wires coming out of the walls.
(self.showerthoughts)
A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.
But he didn't say "this shower thought is the allegory of the cave" did he? He suggested a relationship between them by encouraging the op to familiarise themselves with the allegory of the cave. More of "if you liked this, you'll love that" than "this is that".
"(Story that's older than showers)
This shower thought is older than showers!"
I don't think it's that farfetched to take that as "your shower thought is the story I've just mentioned". In fact it strikes me as more likely than just drawing a comparison even in hindsight and this conversation is about four times longer than it should be.