Round 41 (Appendix L): add nudging-test functional evidence for cos-vs-acc dissociation

The nudging test values were already in the round 38 JSON under
diag['nudging']['0.01'] but never used. Extracted and added to Appendix L:

SB+penalty: deep nudge delta = -1.78e-3 (per-layer, eta=0.01)
CB+penalty: deep nudge delta = -0.45e-3 (per-layer, eta=0.01)

A single step of size eta=0.01 in each method's credit direction decreases
the test loss by 1.78e-3 (SB) vs 0.45e-3 (CB) — a 4x gap in functional
loss decrease that EXACTLY INVERTS the 4x deep-cosine gap between the
methods. This is the direct functional measurement for the
'angular agreement is not sufficient' claim.

Combined with the drift diagnostic (larger CB updates), the cos-vs-acc
mechanism hypothesis now has THREE independent pieces of support:
1. Test accuracy (headline: CB same as DFA, SB higher)
2. Parameter drift (CB larger updates than SB)
3. Nudging functional loss decrease (CB 4x smaller than SB)

Zero new compute — all from existing round 38 JSON data.

Main content still 9 pages exactly within E&D budget.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

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