While I lean on the side of shooting uninvited visitors, at that point, the homeowner knew that they were police.
Did you read my scenario (criminals can yell "police" just as easily as police can)? Did you know that this is actually happening already?
BTW, missed something on first read ~ the guy's wife was KICKING HIM OUT. She placed a 9/11 call on him. He told the cop there was no further problem because, as he picked up the bag of stuff his wife had just tossed at him out in the parking area, he had his stuff and was leaving.
That's the point when the guy went back into the apartment. His wife (they were breaking up so she's still his wife) told him to give it up ~ don't try to stop the officer(s).
She let them in.
This is one of those multi-party tenancy things where everybody walking around has a right to enter or authorize entry.
The Court didn't say, but most likely they were focused on the "reasonableness" of an officer entering a dwelling when, in fact, he'd been invited in by one of the residents.
That would be the only factor involving the question of "reasonableness". Future decisions will focus on that point even though the court didn't dwell on the matter ~ they will undoubtedly IGNORE THE REST.
Not likely Indiana cops are going to just bust in your house without a warrant, but Fur Shur if somebody let's one of them in, don't touch.
Now, another point, DON'T LET A COP IN until he shows his warrant.