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It's a fact that he's the only one with access to the UTXO's In question, and thus owns them.

That's the whole point of ownership: being the one with sole access and say over a given item.

And if someone else gains access to the key you no longer own it?

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this is what you should avoid at all costs.

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Not if they take it, which they will.

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They might just hold onto the key, while you keep stacking into it. There is no way to know you have exclusive knowledge of a number.

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Yeah, because if you'd have access to someone's wallet holding 0.24 BTC, you surely would simply wait until they themselves move it, huh? Wtf.

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