Kind of yes. In case of a single site storing their own visitor logs (with or without some kind of correlation cookie) is not personally identifiable. At best it's a device.
It could becomes PII or personal data if that same IP then gets correlated to name, address, birth date, etc.
I'm aware that the GDPR for example considers anything personal data that is "related" to an identifiable natural person, but cookies and IP addresses can only become that "indirectly" if someone watches you and your network traffic. (Or retroactively, if someone with that IP and session cookie provides more information during that session.)
Essentially I argue that in a system that doesn't do profiling, doesn't even have the ability to ask for more personal data (eg. name), cannot link IP to a person. So in that system IP address is not personal data.
It could becomes PII or personal data if that same IP then gets correlated to name, address, birth date, etc.
I'm aware that the GDPR for example considers anything personal data that is "related" to an identifiable natural person, but cookies and IP addresses can only become that "indirectly" if someone watches you and your network traffic. (Or retroactively, if someone with that IP and session cookie provides more information during that session.)
Essentially I argue that in a system that doesn't do profiling, doesn't even have the ability to ask for more personal data (eg. name), cannot link IP to a person. So in that system IP address is not personal data.