Any complex dataset has enough revealing information as to make deanonimization possible. To truly muddle the waters enough to make such attempts impossible would require injecting enough noise as to make the analytics useless to learn from.

This is a fundamental property derived from information theory, but also confirmed time after time in practice: https://www.theguardian.com/technology/2019/jul/23/anonymise...

Data anonymization is a myth sold to politicians to whitewash data collection.