The O-series of the Cosmochrony admissibility sub-programme extracts the projective capacity exponent from exact Weil-block representations on Heisenberg Cayley graphs Cay (Gq, S) with Gq = Heis₃ (Z/qZ). O12 established ₄ₗ₀₂ₓ 4. 3--4. 8 at primes q 61 and identified a tension with the phenomenological window ^* (0. 09, 0. 13), leaving open two candidate explanations: a finite-size artefact, or a structural gap in the exact-block ^* relation. The present paper tests the finite-size hypothesis by extending the computation to q \101, 151, 211\, with q = 211 serving as a robustness extension under a reduced BFS coverage protocol. The central result is that ₄ₗ₀₂ₓ exhibits a monotone decrease from q = 61 onward: the sequence 4. 42, 4. 80, 4. 52, 4. 27, 3. 59 at q \29, 61, 101, 151, 211\ shows no upward drift toward the target range, and all fitting strategies are consistent with _ 0. 993 throughout: the measurement becomes strictly more reliable at larger~q. The finite-size hypothesis is ruled out in its strong form --- namely that the exact-block exponent would drift toward the phenomenological target range at larger primes. While subleading corrections beyond the explored range cannot be strictly excluded, the observed stability of ₄ₗ₀₂ₓ under improving measurement conditions strongly disfavours a finite-size explanation of the tension. The tension is requalified: its resolution requires revisiting the structural relation ^* in the exact-block setting, where the observable retains a central-coordinate degree of freedom whose contribution to ^* is not yet derived.
Beau Jérôme (Tue,) studied this question.