Auth SSL Redirect is not initiated for authenticated users, only anonymous users

Auth SSL Redirect only acts on user->id == 0, as seen below in the code snippet from the module, which in counter to the description on the project page — 

Redirect authenticated users to HTTPS version of page when they visit over HTTP

.

/**
 * Implementation of hook_boot().
 */
function auth_ssl_redirect_boot() {
  global $base_root, $base_url, $user;

  if (!isset($_SERVER['HTTPS']) && !$user->uid && isset($_COOKIE['AUTHSSL'])) {
    ...
  }