Not a good analogy. An address is not a "compartment". An address does not have UTXO's. A UTXO has an address. It's just a way to associate the UTXO so a set of keys that can be used to spend it.

Instead of explaining bitcoin in terms of things like "bills in your wallet" just explain how it actually works. That's the best way to teach it.

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You must concede analogies help people with no prior understanding at all about public and private key cryptography...