Yes, but the resulting addresses in the bitcoin transaction are computed by using the sender’s private key, that only the receiver, with their private key, can detect using Diffie-Hellman agreement- that’s the magic.
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So the privacy is still only downstream? It reads ironic to me, but this whole thing may be going over my head so apologies if it is.
The address tying inputs to you is public. The outputs being private only changes the payment graph after the point.