Frequently Bitwarden does not prompt to add a new Vault entry after I enter the UserID and password for a new site. An example is https://community.bitwarden.com/.
My suggestion: Add a right-click function to “Add a New Entry to Bitwarden”, which would open the vault, open the Add dialog, and pre-populate the essential data fields. So then with one click, I could have the new entry added instead of opening BW, clicking New, typing in everything manually (including the URL, because the Clipboard has the password on it). This would greatly lessen the pain of not having the prompt appear.