Password app does not remember updated passwords!

This security issue has been driving me crazy for years and I thought only a major upgrade would solve it, but iOS 18.1.1 is still the same!

When I get security warnings in the Password App I take it seriously and use the link to change the compromised password immediately. The Password app opens a smaller window to the relevant site where I can then change my password. It’s a great idea to be able to change any compromised password from the app where they are all stored. However, it never ever works through the Password app, the new password is never saved from within the app and I’m invariably locked out of my accounts and websites. I then have to recover/change my password using normal methods, (going to the main website, logging in to my account, re-saving the password, logout and login again to save in the iPad Password app again)! What do I need to do to get the Password app to save the changed password from within the app?

I’ve seen other people with the same issue, but no answers on why this very important security feature does not work, please help, it drives me crazy!