Variational Backbone and Regime Closures X (GR): Gravity as a Metric-Cone Readout of the Core Hessian From the R2-selected effective background to the Einstein-form display

This paper formulates metric gravity in VBRC as a metric-language readout of the effective Hessian generated by the Part I core comparison density. The starting point is not a primitive Lorentzian manifold, a pre-given metric background, or an independently varied gravitational field. It is a retained-effective pair consisting of a retained variable and a licensed summary of unread content, together with the fixed VBRC comparison structure. When the R2 stability gate selects an effective background, the Hessian of the core functional carries principal-symbol and cone data from which a metric representative can be read. Only after this metric-readout gate has been passed do metric-language objects such as volume form, covariant derivative, curvature, and Einstein tensor become available. Geometry is therefore a readable representative of the stabilized comparison structure, not the primitive stage on which the theory is written. Lichnerowicz, retained-Schur, and summary-side dual-Schur constructions are then treated as readout views of the same effective Hessian. Under a locked-density subcase, the Lichnerowicz readout gives an Einstein-Hilbert principal display with an induced coupling coefficient. The resulting Einstein-form equation is a GR-locked comparison display, not an inserted starting axiom. Unread content affects the metric display only through licensed summaries and their derived readout footprints, never as raw matter.