I guess for most people online, writing all their passwords down in a notebook is more secure than using a password manager. It’s just less convenient.
I would say a notebook is worse than a password manager. It's not strictly worse in every way, but on the balance it's not a hard choice.
A notebook is better than most other not-a-password-manager solutions though. So it has that going for it.
If your notebook is destroyed (e.g. dog eats it, fire, water damage, et al) then all your passwords are gone. With most good password managers you can actually backup and store a copy of your vault data locally.
I really should have her write out a few key passwords and put them in an envelope for me to keep.