You mean when using "sign in with" and then using a shitty password for your social media account?
If you use e-mail and password with a good password manager, that runs locally on your device and generate good random passwords, it is unlikely you will end up on haveibeenpwned, and even if one website does shit, the blast radius is only one account on one website.
You'll still have your e-mail address exposed, which you may not want if it is to some random porn site. Moreover, password managers do not work if you use multiple devices for log in, which most people actually do.