had a quick read, not clear to me why you would need BIP47 or something like it (the PR also mentions silent payments).

what is the static payment code used for?

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definitely wound not need a static payment code. However, a cryptographic handshake could initiate keys with strong forward secrecy (unlike the first message of 0-rtt) for subsequent and could be used as an identifier for a persistent contact. Might be overkill & out of scope.