Browsers having just API for password managers is separate discussion but yes, that should happen. Password manager's job should not be to scrape pages for log

Browsers having just API for password managers is separate discussion but yes, that should happen. Password manager's job should not be to scrape pages for login fields. That still could be a separate plugin (if browser would not do job good enough), but password manager should really get credentials name, some metadata, notes and password to store, nothing more