I think it's reasonable to complain that the system doesn't have an "important but not urgent" message category (which might e.g. have the same "window pops up that you have to dismiss" UI but trigger whatever your usual text-message notification sound/vibration is rather than the VERY LOUD siren).

And given that the system does not have that "important but not urgent" category it's also reasonable to complain when the government uses the "urgent" notification system for something that is not urgent.

It caused me to turn off "severe" alerts (leaving "emergency" enabled).