Isn't that the same? If it was properly anonymized, it couldn't be de-anonymized. Which implies it's not anonymized, i.e., it's store de-anonymized.
Edit: stop with the downvotes please. Whether you agree or not, anonymizing something does not always mean it cannot be de-anonymized. And who can do it (and under what circumstances) is important.
These techniques have a long track record in the private sector and with public entities such as the US Census, with a lot of formal research to back it up.