Does this search custom post types by default?

Yes, there are. Out of the box, the plugin uses WP_Query‘s default.
But you can use the wpss_search_query_args filter to specify the post types to search through:
https://plugins.trac.www.ads-software.com/browser/wp-search-suggest/tags/4/wp-search-suggest.php#L111

Konstantin

Thanks,

My custom post type was in a plugin and I was also running this code:

    if ( ! function_exists('disable_plugins_when_wp_search_suggest') ) {
        add_filter( 'option_active_plugins', 'disable_plugins_when_wp_search_suggest' );
        function disable_plugins_when_wp_search_suggest( $active_plugins ) {
            $uri = 'action=wp-search-suggest';
			$action = 'wpss-post-url';
            if ( false !== strpos( $_SERVER['REQUEST_URI'], $uri) || isset($_POST['action']) && $_POST['action'] == $action ) {
                $for_enable = 'wp-search-suggest/wp-search-suggest.php'; 
                $index = array_search($for_enable, $active_plugins);
                foreach( $active_plugins as $idx => $plugin ) {
                    if ( $index !== array_search( $plugin, $active_plugins) ) {
                        unset($active_plugins[$idx]);
                    }
                }
            }
            return $active_plugins;
        }
    }

So as you can see it disables all plugins when running search query, I will probably just include the custom post type code in my theme instead, thanks.