An alleged shooting an entire day earlier doesn't seem like much of an emergency.
The argument made by the suspect is that the police should have obtained a warrant first because they had enough time to. There seems to be some merit to this (they had enough time to obtain search warrants for specific apartments) but that's something of a different question.
The story is discussed in detail in the order starting around page 20 here: https://www.documentcloud.org/documents/3962321-Gov-Uscourts...
It seems like they would probably be arguing for this one.