I knew this site a long time ago, afaik it's not the email that has been compromised, but the service you register with the email address. Perhaps I translated OP wrong though. In other words, users' email may or may not been breached/hacked (depend whether they use the same password every time or not, which is BAD). Anyway, the site is pretty accurate, not sure about logging things.
I am not sure but the best they can do when someone has your e-mail is try to guess your password through brute-force attack I assume. And as long as your password is strong it would be not easy to find it. Plus if you have 2fa enabled then that would be another layer of security that they'd have to bypass to get through. I remember watching Mr.Robot and Elliot had to install malware into someone's computer to gain access to their e-mail because they had 2fa enabled.
As long as 2FA and strong password are there, it should be sufficient. But the thing is the spam that keeps coming is pretty annoying. That said, we don't have to use such services. If suddenly we get spam emails, then our email is known.