Cheung, Remmen, Sciotti, and Tarquini (Phys. Rev. Lett., 2026) recently proved that string theory amplitudes are recoverable from minimal mathematical inputs (analyticity, unitarity, ultrasoftness). We show that string theory is an EMERGENT SPECIAL CASE of the One-Octonion Brane-Bulk Framework, not a fundamental theory in its own right. The three structural ingredients that Cheung et al. require — exponential amplitude suppression, a discrete spectrum, and minimal zeros at specific Regge slopes — are derived from framework primitives: (i) three-layer brane incompressibility (Murasugi-sum topology + box-spring elasticity + auxetic surface tension with Poisson ratio ν = -1) gives exponential suppression stronger than the Cheung-Remmen ultrasoftness, with brane-collapse condition v_gr ≤ 0.963c and UV cutoff Λ_UV = 5.06 H_0; (ii) the Klein quartic K(7) = PSL(2,7)\H² saturates the Hurwitz bound 84(g-1) = 168 = |PSL(2,7)|, producing the Veneziano amplitude from brane standing-wave kinematics without invoking strings; (iii) the Belyi map (2,3,7) ramification fixes the minimal-zero structure exactly. Framework framing: string theory stands to OOB as Newtonian gravity stands to general relativity — a valid effective description in its regime, emergent from a deeper geometric foundation. Companion paper CCL derives the Regge trajectory J = M²/(2π T_brane) as a direct consequence. Responds to Cheung-Remmen-Sciotti-Tarquini PRL 2026 "Strings from Almost Nothing." Zero free parameters. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.