XChaCha20-Poly1305 is for the case where you don't have a way to guarantee a unique nonce. How would you choose one?
Consider a message with the same value always sent at the same time. Then message + time would be perfectly correlated.
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Stateful PRNGs seem like they can mitigate this kind of correlation, esp. when attacker can't see all requests/responses.
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Yes, I would want an additional "random", but not necessarily the whole stateful-PRNG paradigm.
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