While you are wiring the mirrors: NIP-48 exists for exactly this case. A proxy tag on the note itself, ["proxy", "<url of the tweet>", "web"], lets a client tell a bridged tweet from a native note and link back to the source. One thing worth saying out loud: the note is signed with your key rather than the account owner's, so nothing in it proves the original wrote it. That tag is what keeps a reader from taking the mirror for the original.