#1 lawful presence.
With all due respect, you have never admitted in so many words, that I can recall (and I will gladly retract this statement if you can show me otherwise) anyway, where you feel an unlawful presence is acceptable circumstances for a homeowner to defend himself. But perhaps more importantly, I believe based on your posting history that you don't think there is ever an unlawful entry if the purpose of the entry wasn't explicitly criminal in nature. And even then, if the perps made some asinine claim about being on police business in the first place, you'd probably accept that as gospel truth.