The article explains why you want a 2-way function: it allows you to rotate the pepper. If you have a one-way pepper, you can't change the pepper if it were to

The article explains why you want a 2-way function: it allows you to rotate the pepper. If you have a one-way pepper, you can't change the pepper if it were to be exposed. The whole idea is to have a factor that is never stored in the database, so a database dump cannot expose hashes that can be attacked. Just as the user may want to change their password periodically, the site operator might want to change their pepper. Without a 2-way function, you can't do that without the user presenting their unencrypted password again.