A future comparison theorem must be uniform

After an actual retained quantum identity has been proved, regulator removal may be considered. Keep independent parameters, for example

A removal theorem must state the output topology, uniform bounds for the actual products and Ward operations, and a Cauchy or direct convergence estimate.

The rate (eq:cutoffestimate) is useful only when its source norms are uniform in the other parameters. If those norms grow with ${ϵ}^{-1}$ or an infrared cutoff, a joint limit does not follow.

Two refinement families with separate limits need a cross-family estimate or a common characterization before regulator independence can be claimed. XIX-C provides the relevant non-determination comparison shape CheungXIXC. No native quantum removal is attempted here.