Remark: Why no apex flux was discarded

The argument uses the closed Friedrichs form rather than an integration over $r>ϵ$ followed by an unjustified boundary limit. It does not prove finite propagation for the general ${\mathsf{L}}_L$ or ${\mathsf{E}}_{\lambda }$ domains. The special ${\mathsf{E}}_0$ case is treated separately below. The result is consistent with the general conic diffraction theory of Cheeger–Taylor CheegerTaylor1,CheegerTaylor2.