Hummmm, excelente pergunta
Apesar de existir em ambas as línguas, blitz tem significados diferentes em inglês e português.
Para batida policial, encontrei o seguinte:do a check:
b.an examination by the police, army etc of an area, or people or vehicles passing through an area, in order to be certain that there is no danger or illegal activityAirport police confirmed that the courier had managed to pass through the security check.check on: They run a police check on all applicants for a gun licence
an action by police officers in which they suddenly enter a place in order to arrest people or search for something such as illegal drugsbust
an occasion when the police go into a place to search it for illegal goods or activities, especially those relating to drugs
Espero ter ajudado,