Isnt a directly taken "offer to pay" a proof? What do I dont see in the context?

Or you mean you need the proof for "accounting" purposes?

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You need proof so clients can validate “yes this person paid the fee to publish”

An LNURLW can still be revoked

Valid point.

And you mean having payment for spam is making it censorable, and you want a provably uncesorable sw. Right?