If we're trying for a metaphor that would be a similar situation pre-digitization, the cloud servers containing business documents could be considered head office, and the office being raided would be the branch office. The branch office would continually be communicating with head office for their operations, and that communication would be shut down during the raid.
This isn't a great metaphor because the "head office" has become sort of stateless and ephemeral with digitization, but that's part of the interesting question the OP was posing, how does law enforcement collect evidence when that evidence is hosted on cloud servers in nebulous datacenters?
