Absolutely false. Anything pertaining to a person in any way is personal data. All default web server installations are GDPR violations, unless nginx grew an "edit the access.log entries pertaining to you" endpoint recently. (Although you can maybe argue "legitimate interest" for web access logging if you invest the time, and implement the right to erasure).
Something as simple as running Google Analytics without a processing agreement in place is a liability.
1. User profiles can't be sent to GA. For example, hacker news has /user?id=JohnDoe for profiles, and that contains a username, which is personal data that should not be shared with GA. Ok, so I could rewrite my profile URLs before sending them to GA without the usernames.
2. I haven't heard a single source mention referrals. If I'm on a user profile on my site and click a link, that's going to send /user?id=JohnDoe to GA as the referral. I would need to overwrite the referrals before sending them to GA as well.
3. What about 404 pages that I make up? What if I visit https://www.example.com/JohnDoe? That's sending my personal name to GA again. Hmm, ok, the site could exclude GA from 404 pages.
4. What about search boxes? What if I use the search field on a blog? https://www.example.com/posts?search=JohnDoe. Hmm, that's my personal data being sent again. Ok, we need to make sure any data from search boxes is now stripped and not sent to GA.
5. What if I manually add a query parameter or modify one? A homepage might have https://www.example.com/?page=2, but what if I change it to https://www.example.com/?page=JohnDoe. Hmm, yes, that's personal data being sent again. I guess I need to validate the page parameter to ensure it's an integer before sending the URL to GA. What if I then type in a personal phone number as the page number?
If you're making something that stores personally identifiable information outside of what you need, and don't care enough to secure it or offer ways for a user to manage that data then yes, take it down. Good riddance.
Or, just don't store that data in the first place. If you're storing usernames, passwords and the like then you have nothing to worry about.