Theoretically yes. You don’t claim private keys and addresses. Theoretically someone could randomly generate your same private key. But there’s some sufficiently large ( like more than the amount of atoms in the universe or something?) number of private key pairs to where both of those things are, in practice, impossible

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Also, I am no expert, but this is my understanding.

That's what I also understand, but, gosh... That makes me feel a bit squidgy about the whole thing...

Not me. The math and odds, trade offs and benefits, of BTC vs anything else is clear.

Oh, sure, I'll take BTC over fiat, but... It's still a bit off. Not that I have a better suggestion.