Well you're leaking user data. I'm sure you can imagine situations where "the defendant created an account on this site on this date" could come up. And the user could have created that account not knowing that the creation date is public, because it's not listed anywhere in the publicly viewable part of the profile other than the UUID in the URL.
Pretty much every social media app has a "Member since X" visible on public profiles. I don't think it's an issue.
Discord is doing fine.