I'm not sure what you mean, but the problem would be that noreply@ZZZ is often used by the company that runs ZZZ; using "noreply" for a personal address present

I'm not sure what you mean, but the problem would be that noreply@ZZZ is often used by the company that runs ZZZ; using "noreply" for a personal address presents the same problems as registering other commonly-reserved addresses like postmaster@ZZZ or admin@ZZZ. It doesn't have anything to do with the ability to actually receive mail on an account named "noreply".