IMHO distros share the same apps. The defaults can differ, the implementations too but the user can install apps that are on other distros.

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I m not experienced but this video shows a way to use pass.

https://m.youtube.com/watch?v=7t5M4FXqs9E&pp=ygUWZ2l0IHBsdXMgY29tbWFuZCBsaW5lIA%3D%3D

It is that software. https://www.passwordstore.org/ I still backup in an external dd but there are ways to store them online, like a git repository as instance.

I use Librewolf, I manage passwords with pass and rofi. Hoppefuly AIs will write a new FOSS web browser. I read here and here that the web standards are too big to be implemented by humans.