Ask HN: At which level should one implement TDD in a web app?

Is writing browser automation test enough (Eg: Assert that a page has these inputs and a button. Before the button is clicked, there are 0 records in DB table. After clicking the button, there is 1 record.), or do we want to write tests in levels below as well (Eg: After writing browser automation tests, write feature tests, and then write unit tests.)?