A cookie used solely for counting anonymous visits without storing individual identifiers generally wouldn't be considered personally identifiable information under GDPR.

At least that's what I was told. Having said that, this is obviously a complicated and nuanced topic with a lot of grey areas. I guess it's a good idea to talk to a lawyer in any case.

You are right that if this is just a unique identifier that gets into the cookie and you cannot link it to the actual user then it's fine.

My point was rather for non-cookie based kind of identification, but it was no clear enough.