Definition: Scaling criteria M-C, M-C data and M-C curv (final verification)

M-C (broad) is the release-ladder matched-scale criterion: it requires (i) at least one proved functional matching (Target I), and (ii) an explicitly specified cutoff $\varpi$ together with a functional representation of the entire collapsed scale variation in a stated reading. {M-C${}_{\mathrm{data}}$} is the weaker data criterion: at least one proved functional matching together with explicitly specified, prescription-dependent scaling formulas (residues, ${\nu }_k[\varpi ]$, top-order coefficients) for the collapsed scale variation; it does not require a fixed numerical cutoff. {M-C${}_{\mathrm{curv}}$} is the curvature-ledger scaling criterion: the scale variation of the graph is matched inside the span of the M.5 curvature-ledger targets (the Euler tensors $E_{R^2},E_{{\mathrm{Ric}}^2}$ at $D=4$, and the lower-degree curvature targets of the ledger), with the matched-scale data of (ii). M-C${}_{\mathrm{curv}}$ implies broad M-C, not conversely; M-C${}_{\mathrm{data}}$ is satisfied in this draft (Theorem thm:wpB-B0, Theorem thm:wpB-dp, Section sec:wpB), while broad M-C remains Unresolved because XVI-L leaves $\varpi$ unspecified (XVI-L, thm:L6; Remark rem:Lressretch). Enlarging the target ledger by non-gauge-invariant quadratic representatives (for example ${I^{\mathrm{top}}}_{\mathrm{scale}}$ of Theorem thm:wpB-dp) changes the matching domain of M-C${}_{\mathrm{curv}}$ but may remain within broad Target I; gauge-fixing/ghost or further graph contributions are a different, independent enlargement and are not the only one.