Would randomly generating the session key instead of hashing client IP and other properties satisfy GDPR’s requirement of no PII?

The definition in GDPR Art. 4 reads: [1]

> ‘personal data’ means any information relating to an identified or identifiable natural person (‘data subject’); an identifiable natural person is one who can be identified, directly or indirectly, in particular by reference to an identifier such as a name, an identification number, location data, an online identifier or to one or more factors specific to the physical, physiological, genetic, mental, economic, cultural or social identity of that natural person;

[1]: https://gdpr-info.eu/art-4-gdpr/

My intuition is that a randomly generated session key could not be tied back to the identity of a natural person, as long as client IP, user agent, etc., are also excluded from the analytics data.