Enabling Persistent Login Allows all users to access Register page

The code in persistent_login.module that follows is what is bypassing the Account Settings:

/**
 * Implements hook_menu_alter().
 */
function persistent_login_menu_alter(&$items) {
  $items['user/register']['access callback'] = 'persistent_login_user_reauth_access';
}

Is there a way to test for the Administrators only setting for who can register a new account? If there is, then possibly this menu item should only be added if that has not been set.

In the following code, a test to see if user registration is allowed if first performed. If it is allowed, then the 'user/register' item is added.

/**
 * Implements hook_menu_alter().
 */
function persistent_login_menu_alter(&$items) {
  if (user_register_access()) {
    $items['user/register']['access callback'] = 'persistent_login_user_reauth_access';
  }
}

I do not know if this would impact anything else in the module, but it seems to fix my problem. A patch for this is attached.

In the following code, a test to see if user registration is allowed is first performed. If it is allowed, then the 'user/register' item is added.

/**
 * Implements hook_menu_alter().
 */
function persistent_login_menu_alter(&$items) {
  if (user_register_access()) {
    $items['user/register']['access callback'] = 'persistent_login_user_reauth_access';
  }
}

I do not know if this would impact anything else in the module, but it seems to fix my problem. A patch for this is attached.

The submit of the above comment failed and the patch was not attached. I'll try again.