Uniform raw reference inputs for non-step prime-power rows

Fix a finite nonempty head family, physical intervals with lower endpoints at least 1 and upper endpoints at most Cmax, and a guard ledger. The box-independent prime-power constant Cpow is positive. For W>1 containing all head primes and nonnegative coefficient and physical tilt bounds, there exists a nonnegative sequence ε₇₅ tending to zero, with ε₇₅ log L tending to zero. The canonical non-step correction ρ also satisfies ρ log L→0. Beyond one threshold, uniformly over finite band types, canonical guarded bridges and allowed tilts, the canonical raw medium reference law satisfies PrimePowerTransferBounds(Cpow,ε₇₅), and the actual/reference prime-power covariance differences satisfy the displayed weighted row estimate.