Actually Lodge Road should not have been disconnected. It's still connected and visible. Therefore it should be mapped. It's just a bad path with fire damage visible in recent aerial imagery. This part of the road might also have been closed in previous years. I have reconnected and updated this segment of Lodge Road (https://www.openstreetmap.org/way/10552330) to access=no and made the smoothness=very_bad. The line that you made is not interpretable by other mapping apps, but those applications tend to respect gates and access information.