We were routinely getting emails saying "I'm not comfortable sharing my CC info with you" (even though it goes through a processor), so ended up adding PP as an alternative. Guess what - now we get to see their full name and physical address, neither of which we need, because we sell software licenses. I'm guessing that people are more concerned with needing to deal with compromised cards than they are worried about over-sharing of sensitive personal details.
So whenever a company says that only their user email addresses were compromised and nothing more, I'm pretty skeptical of the validity of their assertions.
Go on then... post your e-mail address.
Since a lot of people re-use passwords, if your email is also contained in one of the countless breaches that we've seen cropping out in the last few years, there's a good chance that your Amazon account is using one of the pwned passwords: therefore Amazon's statement that people should not change their Amazon password is potentially harmful advice.
It's for the same reason that you don't post your name, address, and email address in a signature of your posts on HN.