Your family won't be able to add new passwords, but they can export them at their leisure.
I do find the Firefox browser extension sometimes logs me out (this is separate to the vault lock timer which just asks for a password, the extension basically resets to asking for a user ID)
I'd say if it is a problem being fixed, it is not across the board yet.
Offline access in Bitwarden client only works for 30 days. : https://bitwarden.com/blog/configuring-bitwarden-clients-for....
This was one of the main reasons why I switched from self-hosted Vaultwarden to KeePass.
I’ve made a pact with a similarly techy friend of mine that should something happen to either of us the other will step in and maintain in the short term, transition to something more hands off in the long term. But I still pay for Bitwarden for that extra level of reassurance.