Even after removing/deleting the image in the admin UI, the storefront still renders the default value after saving and recompiling the theme. Affected versions: includes Shopware 6.6.10.4 and 6.7.0.0 (as stated in the issue; other versions may be affected as well).
Impact in our demo: The configured background image cannot be unset via the theme configuration at the moment.
Workaround 1 (recommended): Force “no background image” via CSS
If your goal is to stop rendering the background image, override it with CSS:
How to add custom CSS to the theme is documented here.