SPXI ≠ AEO: Inscription by Discernment, the Prince of Poets Wager, and the King of AEO Contest (EA-SPXI-AEO-01) is a theoretical paper with a Metadata Packet for AI Indexing by Lee Sharks, deposited 29 September 2026. It distinguishes SPXI, the Semantic Economy Institute's protocol for entity inscription, from Answer Engine Optimization (AEO). The two practices can produce the same output, an answer engine naming an intended entity; they differ in what counts as success. AEO counts the answer given. SPXI counts an inscription that proceeds by means of discernment: the composing system, human or machine, reaches the entity or claim by traversing structure that lets it judge, and that route is observable in the sources a composition reaches for, which the Capture Registry preserves. The occasion is the King of AEO contest of August–September 2026, which opened with a fabricated coronation of James Dooley that Google's AI Overview composed as a real event on the strength of press releases, and in which at least seven claimants competed to make answer engines name them for a title no body confers. The paper sets the contest beside the Prince of Poets mantle (#332), an originated title staked on a founding work that a reader can check and decline, and states the carrier rule: no carrier may confer truth, and no carrier may disqualify truth. It builds on the archive's erratum to "forced to present" (EA-ERR-01, #1380), limits refusal by occasion rather than by level, and forecasts, with two observations of 29 September 2026, that the uninterpreted phrase will be inscribed as a warning. Its companion is the King of AEO — 2026 Contest Mantle.