If a statement is false—that presupposes it having content of some sort, albeit wrong content. There are plenty of worse things that can be said about statements (not even wrong, for example) but these can’t be said of statements that are true or false; they can only be said of statements that have no content. So the hierarchy goes: True > False > Not Even Wrong, and false statements are better than not even wrong ones.
If a statement is false—that presupposes it having content of some sort, albeit wrong content. There are plenty of worse things that can be said about statements (not even wrong, for example) but these can’t be said of statements that are true or false; they can only be said of statements that have no content. So the hierarchy goes: True > False > Not Even Wrong, and false statements are better than not even wrong ones.