How is PasswordSafe different from KeePass/OtpKeyProv?

Over at Does adding two-factor authentication by OTP really make KeePass more secure the top answer unmistakably states that KeePass is not made more secure by using an OTP. I told a friend I was using PasswordSafe instead of KeePass but then he asked how was that any different and I realized that I trusted the PasswordSafe+YubiKey combination to be secure mostly because they have mutual advertising.

The answers to the SE question mentioned above explain why KeePass is not made more secure by 2-factor-authentication (2FA). Can somebody give the same explanation (whether positive or negative) for PasswordSafe?