Disable paragraph delete button based on configuration setting.

Thank you for the issue and a patch, but I am not sure that having a checkbox for each action will be good idea. There are a lot of access checks that work properly with Drupal permission system and for other buttons like add/move there are additional events emitted that you can subscribe to.

Probably in your use case it is better to implement form alter hook and remove the "Delete" button if it is confusing for your editors. You can find an example of form alter that targets the form in the sidebar in frontend_editing.module file function frontend_editing_form_alter().