No, the route services, including Mapquest, are all based on Openstreetmap, the link I posted. If you can't find these small roads on this link, none of the offered route services by Locus is able to route you correctly.
In this case you can possibly help Openstreetmap with mapping the roads by your own. Next time Mapquest will be able to route you correctly too.
Can you please try to route with Google Maps? Works it correctly?