There is no "controller of the utxo set". A utxo has an address in it and is not "owned" or "controlled" by anyone. You can spend that UTXO if you can sign a transaction with a key that hashes to that address.

The UTXO set is shared by every node running on the bitcoin network. It's all of them, every single one.

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I understand what you are saying, but I’m not sure if you understand what I am saying. My ignorance is likely to be the issue here. If I FAAFO on it, I’ll report back.