I guess a bunch of things, as they are specialized apps:
proper auth. I think with Firefox you can have a password, but a password manager will have multiple options for 2fa including security keys, and on phone fingerprint unlock etc. In general, password managers are more resistant to malicious users gaining access to your device.
store all kinds of stuff. Not everything happens in the browser, and it's just convenient to have an app just for credentials. Many password managers allow to store and autofill credit cards too, for example.
on the fly generation of aliases. Password managers have external integrations. For example proton and bitwarden can integrate with simplelogin.io to generate email aliases when you choose to generate a new username.
org-like features. Password managers can be also convenient for sharing with family (for example). I do manage a bitwardes organization used by all my immediate family, which means I can share credentials easily with any of them. Besides the sharing I can also ensure my (not tech savvy mom) won't lock herself out (emergency breakglass access configurable) and technically enforce policies on password strength etc.
as banal as it is, self-managing. I like to run my own services and running my own password manager with my own backups gives me peace of mind.
another perhaps obvious point. More compatibility? I can use my password manager on whatever device, whatever browser. For some, it might not change anything, but it's a convenient feature.
As a personal addition, I would say that I simply want the cornerstone of my online security to be a product for a company that is specialized in doing that. I have no idea how much effort goes into the password manager from Mozilla, for example.
Yep, I know and it's very convenient. I discovered recently that bitwarden also has integration, but requires manually provisioning an API key. Not as convenient but quite nice as well.
Some advanced features and convenience if you use different browsers. If Firefox auto-fill works for you, than you probably do not need any of those features.
I use the notes section alot. I can store all kinds of related info.
For example on sites that still use a username to login, I can put the email I used to sign up in the notes section.
I'll also do security questions answers here. Using a pasphrase generator for those is good. No one is going to check if your first dog's name really was "consoling-roving-activator-earflap" and no one can find it on your over sharing grandma's Facebook.
I'll also attach any license keys/relevant files for software, now those stay encrypted and backed up with the database instead of in a random folder of text files.