Covering-native operator geography of the covering-law family is not leftover interpolating sequential type

Write F for a covering-law family and W_n for the set of unlabelled covering-process orders of cardinality n. A functor of covering-law Markov steppers is unique-of-F and therefore fails leftover interpolant independence. That failure is occupancy geography of leftover interpolating sequential type. It is not a ban on covering-kernel papers. Occupying leftover interpolating sequential type by citing those functors is too loose. Declaring leftover interpolating sequential type uninhabitable because unique-of-F functors fail leftover interpolant independence is too tight. Let Omega_n = E_n T_n - T_{n-1} E_{n-1} be the scale commutator of a named covering-class embedding and a named covering-law stepper, and let S = sym(Omega_n). On the pair (maximal deletion, port-resolved), the inertia is n_-(S) = 1, 2, 4 at n = 6, 7, 8, Haynsworth additivity holds on those three sizes, and 1^T S 1 is numerically zero on every pair tested through size 8. The same Haynsworth identity is not universal. Binary doubling n_- = 2^{n-6} remains a look, not a theorem. A unique W_7 outdegree class (0,0,2,2,2,2,2) is the paired-join covering of Companion 36 Theorem 13, with eight linear extensions and automorphism order eight. A claimed 22.66 percent energy concentration of the first secondary negative mode on that class is not recovered on sym(Omega). A zero-parameter Jaccard-squared overlap law on raw covering growth, twelve seeds, horizon N = 512, yields two of twelve samples with p_{2+2} >= 0.02 and maximum 0.0235; those two samples have aspect ratio strictly below 1. An external report of four of twelve Phase-II samples with aspect ratio above 2 and maximum p_{2+2} = 0.081 is not matched. Arithmetic-mean p_{2+2} as an exclusive failure of Phase-II existence is too tight as a hunt of covering-native geography. Occupancy of leftover interpolating sequential type by those lobes remains empty. A modular parameter of a covering-class weight ratio is not cosmological proper time. Companion 37's symbol Delta is Chapman-Kolmogorov divisibility, not a Tomita-Takesaki modular operator. Connes-Rovelli thermal time is cited literature, not a theorem of this note. Covering histories are finite posets of the mathematical type of finite causal sets. They are not identified with physical spacetime. This note does not claim Lorentz invariance. It does not replace the parent programme manuscript, and it is not a new version of Companions 13-48.