It's worth noting that often, the email can be correlated with other breaches to get your real name. People can do that relatively easily on osint websites. I wasn't terribly pleased when I found my teenage furaffinity account show up in an identity theft monitoring app. Other people have turned up in breaches of far more objectionable websites.
If your email provider offers email aliases, you should really get familiar with how to use them, and use a unique email alias per website.
If your email provider offers email aliases, you should really get familiar with how to use them, and use a unique email alias per website.