I think that's just an extra step in your argument about intrinsic value. Now you have to analyze why the price of energy is $10/hour. That transaction is just another thing determined by a market where there isn't actually intrinsic value that sets the price, but another buyer. You can analyze this series of transactions forever, but you won't ever arrive at a point where the intrinsic value of something is what sets a price directly.

Note: I completely agree with you on the concept of an equilibrium price being a real thing, I just don't think equilibrium is determined by intrinsic value.

The buyers and sellers reach an equilibrium price, determined by a market, yet justified by the intrinsic value of what you're purchasing.