Being as that god is typically considered to be the Christian God, then the dogmatic principle of, "Render unto Caesar that which is Caesar's" should come into play, at least in the western world. Their invitation is from the true owner of the home, the state, which supersedes the current occupants authority as, "all nations are created by God".

However there may be some concept of primacy of house and home that in God's eyes turns out to be more important than the political societal contract we live under that has an exemption for protection from evil supernatural entities, as otherwise a long-lived vampire could simply manipulate the population to get themselves elected as a ruler and cause the citizens to lose one of their fundamental protections from the denizens of the night.

That being said, most law-abiding homeowners would probably permit the entry based on the existence of the warrant by default, so it's likely a moot point.

but it's a cop so likely won't be following the rules even for a vampire

What if you're renting? What if the house was appropriated? What if there's a land dispute? What if the land was appropriated? What if it fall under imminent domain? What if it's split ownership? What if there's a dissociative personality involved?

There's so much to be straight up dismissive as "they're dumb friends".

[In the US] A warrant is permission from the representative of a governmental entity that is ultimately in charge of the land and could legally take it from you, so if theydo take it from you, do you still own it? Even if you can't get it back? By that logic does the US own any of the land, since it was first the land of a different peoples?

But what is ownership? Ownership is the society-recognized right to the exclusive use of property. But society establishes certain limitations on those rights, including requirements to allow the lawful access by law enforcement to the property.

You intrinsically give law enforcement permission to access property if they have a warrant. It's just part of the bargain of land ownership.

But what if the warrant was illegally issued, and so the vampire didn’t have actual permission to enter? Hmmmm.

Vampires make better cops than real ones?!

So the State seizing land and demanding tax was really just a ploy to support their vampire masters. I knew it!

This is the answer I choose to accept.

“Can I enter your home to arrest you?”

“I don’t know officer squints eyes ..can you?”

What if they're serving an eviction notice and it's no longer your home?

[citation needed]