There are several things that are a security issue or simply a privacy issue. These include:
- Your username (as I assume this tool is demonstrating)
- Your email address. While this is treated as your "public identity" to some extent, I think we're rapidly approaching a point where we need to not do this;
- Your phone number; and
- Your profile pic. I would advise to never use the same pic across accounts and certainly don't use services like gravatar (if that's still a thing).
Email is particularly problematic because you can end up on spam lists if a site is compromised and you can't really identify where it comes from.
What I think we need is a more integrated solution for logging in and creating throwaway addresses (eg like SimpleLogin) so it's basically seamless. Gmail seems well-positioned to do this. I honestly don't know why Google hasn't done this.
Interestingly, Facebook Groups seem to handle this kind of anonymity reasonable well. Each group your in is a separate profile. You can't find out what other groups someone is in from either their personal identity or any group's identity. Weirdly, your FB profile is associated with any pages or profiles you comment on.
It should be clear to these companies by now that people want to silo their public identities (aka pseudonomity).