diff --git a/diff_diff/utils.py b/diff_diff/utils.py
index 4a7ba5eb..704a2138 100644
--- a/diff_diff/utils.py
+++ b/diff_diff/utils.py
@@ -1460,12 +1460,15 @@ def _sc_weight_fw_numpy(
         lam = np.ones(T0) / T0
 
     vals = np.full(max_iter, np.nan)
+    converged = False
     for t in range(max_iter):
         lam = _fw_step(A, lam, b, eta)
         err = Y @ np.append(lam, -1.0)
         vals[t] = zeta**2 * np.sum(lam**2) + np.sum(err**2) / N
         if t >= 1 and vals[t - 1] - vals[t] < min_decrease**2:
+            converged = True
             break
+    warn_if_not_converged(converged, "Frank-Wolfe SC weight solver", max_iter, min_decrease)
 
     return lam
 
diff --git a/docs/methodology/REGISTRY.md b/docs/methodology/REGISTRY.md
index 391482d2..b4cd419f 100644
--- a/docs/methodology/REGISTRY.md
+++ b/docs/methodology/REGISTRY.md
@@ -1496,7 +1496,7 @@ Convergence criterion: stop when objective decrease < min_decrease² (default mi
   P-value: analytical (normal distribution), not empirical.
 
 *Edge cases:*
-- **Frank-Wolfe non-convergence**: Returns current weights after max_iter iterations. No warning emitted; the convergence check `vals[t-1] - vals[t] < min_decrease²` simply does not trigger early exit, and the final iterate is returned.
+- **Frank-Wolfe non-convergence**: Returns current weights after max_iter iterations when the convergence check `vals[t-1] - vals[t] < min_decrease²` never triggers early exit. The numpy-backend path (`_sc_weight_fw_numpy`) emits a `UserWarning` via `diff_diff.utils.warn_if_not_converged` in that case; the Rust-backend path silently returns the final iterate (Rust-side signature change required to thread convergence status — tracked as an axis-G backend-parity follow-up).
 - **`_sparsify` all-zero input**: If `max(v) <= 0`, returns uniform weights `ones(len(v)) / len(v)`.
 - **Single control unit**: `compute_sdid_unit_weights` returns `[1.0]` immediately (short-circuit before Frank-Wolfe).
 - **Zero control units**: `compute_sdid_unit_weights` returns empty array `[]`.
diff --git a/tests/test_methodology_sdid.py b/tests/test_methodology_sdid.py
index 36b8162a..c7a77545 100644
--- a/tests/test_methodology_sdid.py
+++ b/tests/test_methodology_sdid.py
@@ -21,6 +21,7 @@
     _compute_regularization,
     _fw_step,
     _sc_weight_fw,
+    _sc_weight_fw_numpy,
     _sparsify,
     _sum_normalize,
     compute_sdid_estimator,
@@ -207,6 +208,58 @@ def test_intercept_centering(self):
         # They should be different because centering matters
         assert not np.allclose(lam_intercept, lam_no_intercept, atol=1e-3)
 
+    def test_fw_warns_on_nonconvergence(self):
+        """Silent-failure audit axis B: _sc_weight_fw_numpy must warn when max_iter exhausts."""
+        rng = np.random.default_rng(42)
+        Y = rng.standard_normal((15, 7))  # (N, T0+1) with T0=6
+
+        with pytest.warns(UserWarning, match="did not converge"):
+            _sc_weight_fw_numpy(Y, zeta=0.1, max_iter=1, min_decrease=1e-12)
+
+    def test_fw_no_warning_on_convergence(self):
+        """Silent-failure audit axis B: no warning on well-conditioned convergent input."""
+        rng = np.random.default_rng(42)
+        Y = rng.standard_normal((15, 7))
+
+        with warnings.catch_warnings(record=True) as w:
+            warnings.simplefilter("always")
+            _sc_weight_fw_numpy(Y, zeta=0.1, max_iter=10000, min_decrease=1e-3)
+        assert not any("did not converge" in str(x.message) for x in w)
+
+    def test_fw_wrapper_warns_on_nonconvergence_without_rust(self):
+        """Silent-failure audit axis B: public _sc_weight_fw wrapper must route
+        warnings through even when called via the dispatcher with the Rust
+        backend disabled. Pins the contract against refactors that would
+        bypass the numpy path."""
+        rng = np.random.default_rng(42)
+        Y = rng.standard_normal((15, 7))
+
+        with patch("diff_diff.utils.HAS_RUST_BACKEND", False):
+            with pytest.warns(UserWarning, match="did not converge"):
+                _sc_weight_fw(Y, zeta=0.1, max_iter=1, min_decrease=1e-12)
+
+    def test_fw_wrapper_no_warning_on_convergence_without_rust(self):
+        """Silent-failure audit axis B: wrapper-level negative control."""
+        rng = np.random.default_rng(42)
+        Y = rng.standard_normal((15, 7))
+
+        with patch("diff_diff.utils.HAS_RUST_BACKEND", False):
+            with warnings.catch_warnings(record=True) as w:
+                warnings.simplefilter("always")
+                _sc_weight_fw(Y, zeta=0.1, max_iter=10000, min_decrease=1e-3)
+            assert not any("did not converge" in str(x.message) for x in w)
+
+    def test_fw_max_iter_zero_warns(self):
+        """Silent-failure audit axis B: max_iter=0 produces the uniform init
+        without iterating, which cannot converge by construction. The warning
+        must fire (consistent with the convention: if we exited the loop
+        without hitting the tolerance gate, we signal). Pins this contract."""
+        Y = np.random.default_rng(0).standard_normal((5, 4))
+
+        with patch("diff_diff.utils.HAS_RUST_BACKEND", False):
+            with pytest.warns(UserWarning, match="did not converge"):
+                _sc_weight_fw(Y, zeta=0.1, max_iter=0)
+
 
 class TestSparsify:
     """Verify sparsification behavior."""