Not always. With LastPass, and even Chrome’s own password manager, they will notice when you’ve changed a password for a saved site and offer to update it. Bitwarden does not seem to do that.
You’ll need to open the extension to generate a random password so why not do everything within the extension? When I use to use LastPass it would not always pick up the password change and I had to go back and fix it, I found that more annoying. The Bitwarden way seems more straightforward and less likely to mess up.
Sometimes I like to generate and type in the new password myself. But even if I generate it within the extension, it’s more fiddly than the extension recognising I’ve changed the password and offering to update it.
If more than one person (like a user and his/her SO) use the same Bitwarden-account some domains (like Google) appear more than once. There are even more items if you use your Bitwarden account as a backup for both kids and parents: . A number higher than 1 gives you a warning not to just press Ctrl+Shift+L and hit Enter to log in. And a badge showing tells you that you perhaps should check for duplicates.