child theme inherticance and php autoload

use locate_template() instead.

public function load_class( $class ) 
{
    $path = str_replace('_', "https://wordpress.stackexchange.com/", $class);
    // returns a path when something was found
    $located = locate_template( $path, TRUE );

    return $located ? TRUE : FALSE;
}

Always return FALSE in an autoloader if you haven’t found the class.