I was able to do this in these steps:

Go to the public video share URL. It should be something like this: http://video.nest.com/live/pSgnOZ0s4t If you use developer tool on chrome and see network traffic ....look for a URL with .m3u8 in the end... it will be something like this: https://stream-delta.dropcam.com/nexus_aac/37451e60aeac457f9800704f1662147e/playlist.m3u8 Once you get that open that file in a text editor....you will get something like this inside the file

#EXTM3U #EXT-X-VERSION:3 #EXT-X-STREAM-INF:BANDWIDTH=400816,CODECS="avc1.77.31,mp4a.40.2",RESOLUTION=1280x720 chunklist_w391480529.m3u8

The stream URL is then

https://stream-delta.dropcam.com/nexus_aac/37451e60aeac457f9800704f1662047e/chunklist_w391480529.m3u8

Once you have this then install livestreamer to extract video like this:

livestreamer "hls://https://stream-delta.dropcam.com/nexus_aac/37451e60aeac457f9800704f1662047e/chunklist_w391480509.m3u8" best -o nest_video.ts

This will save the file to your disk.

I used this to avoid nest aware subscription. Unfortunately, they charge so much for that service. When someone can just save the video to a disk and upload to a cheap cloud option...