test(axum): prove page response semantics

Close the first hemx-axum mutation class by proving page-mode detection and response constructor fingerprint behavior through the public integration API.

req: page_swap/001

req: abi/005

PLAN.md

@@ -21,7 +21,7 @@
 - [ ] **State:** In progress — the package-native capped xtask entry point is reachable, rejects unknown packages, propagates mutest failure, and mutation-tests `hemx-core`, `hemx-js`, and the full `hemx-test` package cleanly; full package closure remains.
 - **User value:** maintainers can run one bounded repository command and trust that meaningful Rust logic across every mutation-applicable library is either killed or explicitly justified.
 - **Build:** add a capped `hemx-xtask` mutation command that invokes `/opt/repositories/mutest`/`mutest` through package-native test targets rather than the broken workspace-wide example path; enumerate only current mutation-applicable library/proc-macro packages; finish adversarial tests or simplify code until every survivor is classified; keep equivalent, invariant-only, and infrastructure-inapplicable classifications inspectable and minimal; document the exact local release command in the existing readiness surface.
-- **Blocked by:** none; broad survivors currently remain in `hemx-axum`, `hemx-build`, `hemx-derive`, and `hemx-lsp` outside already-clean focused contracts.
+- **Blocked by:** none; broad survivors currently remain in `hemx-axum`, `hemx-build`, `hemx-derive`, and `hemx-lsp` outside already-clean focused contracts; the next `hemx-axum` slice now proves page-mode and response-constructor semantics, while form/registry/rejection paths remain.
 - **Proof:** the new xtask mutation command exits zero within its documented bound, covers each applicable package, emits no unexplained missed mutant, and a deliberate adjacent mutation makes it fail. `cargo run -p hemx-xtask -- test` remains green. req: test/020 req: test/021
 
 ## 3. Elect and enforce the release license policy