An essential edge quantifier

essential edge quantifier{ A fixed compact interior gauge parameter eventually lies above the shrinking ramp. It is incorrect to conclude that every finite-width edge defect survives as a nonzero defect for that same fixed parameter in the sharp limit.

A parameter that stays inside the ramp must move with $\epsilon$. Its transformed backgrounds are then generally not fixed inputs of Theorem thm:convergence. Neither observation is a higher-order repair of an already nonzero lower coefficient at a fixed prescription.}