Rename/hide "Save" and "Save as draft" buttons for non-admin roles
Focusing just on the save draft module (whatever rules you are using are unrelated).

You can implement a custom module will the following form alteration:

/**
 * Implements hook_form_BASE_FORM_alter().
 */
function MODULENAME_form_node_form_alter(&amp;$form, &amp;$form_state, $form_id) {
  // Get the current user object.
  global $user;
  // Role ids of the current user.
  $user_roles = array_keys($user-&gt;roles);
  // Role ids of your admin roles.
  // Change these to suite your role ids.
  $admin_roles = array(8, 9);

  // For users that don't have the appropriate roles.
  if (!array_intersect_key($user_roles, $admin_roles)) {
    // Restrict access to the save button.
    $form['actions']['submit']['#access'] = FALSE;
    // Change label of save draft button if it is present on this
    // content type.
    if (isset($form['actions']['draft'])) {
      $form['actions']['draft']['#value'] = t('Save as draft button label');
    }
  }
}


For this to work your module's form alter function needs to run after the save draft module.
To achieve this you need to either add an install function that changes the
weight of your module in the system database table so that it is 1 (save draft is 0 so you need a higher number), or you can implement hook_module_implements_alter() to make your form alter hook run after.

For more information on making your form alter run after the save draft form alter see the two answers at How can I modify the advanced search form when my hook runs too early? - these explain how to do both the solutions I mentioned above.