That place didn't have any European operations so no GDPR concerns¹, but for what its worth it was completely.. pseudonymous I think is the term we want? You couldn't link a server entry to an actual user account by any means² but you could group distinct server calls together as coming from the same person. These weren't "server logs" in the same of IPs or user agents or that kind of thing. More like application logs w/ scrubbed/obfuscated user data just stored in gigantic text files.
¹ To those who would say it doesn't matter, I'd say that laws aren't laws if they can't be enforced and there's no enforcement mechanism for some EU bureaucrat to fine a company with no operations outside of the US.
² I'm sure the technical means existed to do it especially if you already had access to the logs but the point is we weren't explicitly storing any PII or data that was linked to a real account. Just actions throughout the apps.