I am merely pointing out what the amendment says. Most of the commentary I am seeing is asserting that the 4th amendment was violated because searches were conducted without a warrant. That is NOT a violation of the 4th amendment. Read the amendment and see.
The Fourth Amendment still controls. When an officer swears an affidavit in support of a search warrant based upon probable cause, he receives a warrant that states, on its face, the particular place to be searched and the particular items or person to be seized.
Exigency must still comport with the remainder of the Fourth even if the warrant requirement is excluded. Exigency only applies to a particular place, not a 20-block radius.