Abba_S, that “Statement” forbids mamzerim from marrying into
Klal Yisrael. The only explanation I came up with for your post is that
everyone is a safek mamzer, but we marry because otherwise we couldn’t have children. Once we have children, we shouldn’t marry again because we could be (or marry) a mamzer. Is that what you meant? (I hope not, because I’m pretty sure that’s some high-caliber nonsense I just made up. I also hope you can explain yourself, because many tzaddikim are known to have remarried at an advanced age.)