That is why ownership of information is so important, in the extreme, is the data I have on dropbox mine, or can government search it and claim they are searching dropbox's data? I thi k all reasonable people would agree that in case of cloud storage I would have legal standing to sue if the search is unreasonable. I probably don't have that standing for IP logs, but there is loads of grey in between.

If you take the view GDPR takes, most data about the person is their data.