Rotation-breaking nonnegative relations

Changing the finite-chart entry $H_{0,-1}$ to $e^{\mathrm{i}\gamma }{H}_{0,-1}$ changes the same phase in $C_{0,-1}$; it is equivalent to $\phi \mapsto \phi +\gamma$. Statements that every component must depend on angle, or that every non-diagonal relation must carry radial current, would ignore the equal-order exceptions.