Versal ADE Deformation Reconstruction from Coordinate-Free Renormalized Tail Orbits:\ Gauss--Manin Packet Bundles, Primitive-Form Frobenius Structures, and Finite-Window Flat-Moduli Recovery

The preceding paper of this series resolved coordinate-free renormalized-tail collisions at the full simple-singularity level: every local branch collision of fixed ADE type was uniformized by a canonical packet, its sectorial asymptotics recovered the chamberwise branch laws, and Picard--Lefschetz continuation yielded an ADE Stokes groupoid together with Weyl-rigid local type recovery. One structural layer still remained missing. The packet theorem of fixed type does not yet reconstruct the moving versal geometry of the collision: the Jacobi multiplication, the primitive flat metric, the Euler grading, the semisimple canonical coordinates, and the calibrated Stokes data that together form the Frobenius manifold germ of the simple singularity. The present paper closes exactly that gap, still inside the coordinate-free smooth simple-pole regime and still for a finite bounded ADE family. For each simple type \ (\Aₖ, Dₖ, E₆, E₇, E₈\\) we pass from the scalar collision packet to a packet period matrix on the miniversal base, built from a primitive-calibrated Brieskorn basis and a distinguished thimble basis. This matrix is no longer only a local asymptotic profile of a single collision point. It is a finite-rank bundle object over the semisimple complement of the discriminant. The first main theorem is an exact Gauss--Manin packet-bundle closure theorem. The packet period matrix \ (J_ (z, u) \) satisfies a flat meromorphic connection \ z\, ₔ䂯J_=C, ₀ (u) \, J_, (zᵦ-U_ (u) -zV_) J_=0, \ where the matrices \ (C, ₀ (u) \) are the Jacobi multiplication operators, \ (U_=C₄_\) is multiplication by the Euler field, and \ (V_\) is the constant grading operator. Thus the orbit category sees not merely a packet profile but the full Gauss--Manin/Dubrovin package of the versal deformation. The second main theorem is a primitive-form Frobenius reconstruction theorem. On every simply connected semisimple chamber, the packet connection recovers, uniquely up to overall scalar primitive gauge and Weyl relabeling, a semisimple Frobenius manifold germ \ ( (, , e, E) \): the product \ (\) is read off from \ C, ₀ (u) =z\, ₔ䂯J_\, J_^-1, \ the unit is \ (e=ₔ䃐\), the canonical coordinates are the critical values of the versal phase, and the residue metric is reconstructed from the steepest-descent amplitudes of the packet columns. In particular, the orbit data determine the local primitive-form geometry, not only the underlying ADE type. The third theorem is an isomonodromic calibration theorem. On each semisimple chamber the packet matrix admits a unique formal calibrated factorization \ J_ (z, u) _ (u) \, R_ (z, u) \, e^V_^{can (u) /z}, R_ (z, u) =I+₌₁R, ₌ (u) zᵐ, \ and the Stokes jumps between adjacent sectors coincide with the Picard--Lefschetz matrices of vanishing-cycle transport. Hence the monodromy data of the Dubrovin connection become genuine invariants of the renormalized-tail orbit. Equality of canonical coordinates, primitive metric, and Stokes data implies equivalence of the semisimple packet bundle up to Weyl action and diagonal calibration gauge. The fourth theorem is quantitative. For a fixed finite candidate ADE family, finitely many scalar probes sampled on finitely many selected rays and a bounded window \ (n=N, , N+J-1\) asymptotically recover the true simple type, the canonical coordinates, the multiplication matrices \ (C, ₀ (u_) \), the primitive metric \ (_ (u_) \), and the first calibration coefficient \ (R, ₁ (u_) \), with error \ \! (N^-1/h_+N+N) \ under the natural semisimplicity, spectral-gap, injectivity, and noise-floor hypotheses. The theorem is stated explicitly as a local finite-horizon asymptotic recovery scheme, not as a globally conditioned numerical algorithm under arbitrary noise. The scope is exact and intentionally limited. We treat coordinate-free smooth simple-pole branch families, a finite bounded ADE list, primitive-form semisimple chambers, and local finite-horizon asymptotics. We do not claim modal singularities, higher-order poles, arbitrary singular varieties, non-semisimple global Frobenius theory, or unrestricted adversarial noise. Within that regime, however, the paper upgrades the ADE packet theory from local type uniformization to full versal-deformation reconstruction: exact Gauss--Manin closure, primitive-form Frobenius recovery, calibrated Stokes transport, and finite-window flat-moduli diagnosis.