Offline syncing of outlook could reveal a lot of emails that would otherwise be on a foreign server. A lot of people save copies of documents locally as well.

Most enterprises have fully encrypted workstations, when they don't use VM where the desktop is just a thin client that doesn't store any data. So there should be really nothing of interest in the office itself.

French has a password disclosure law.

Even if you seize the workstation and obtain the password, the files are unlikely to be stored locally.