We have had issues where it sees the camera but doesn't send. However, once we start sharing an application, it starts sending the camera. Have you tried to see if this works for you as well?
wow, well on my S3 on windows 10 I can log in but can't get any video working and it and it just hangs, now I'm afraid to upgrade my surface pro 3 to windows 10 if I can't get that working!
I use Cisco Jabber Video fro Telepresence on my HP Laptop and IPad through work. I tried it on my S3 and the camera didn't work so I ask my IT dept to follow this up. They confirmed with Cisco that this program isn't supported on the S3 due to the atom processor... the advice I received was really helpful.... get a SP3 with a 'real' processor!
Due to this program also being phased out I can't imagine they will be providing a fix anytime soon.
The only way I have found to make this work on the S3 is to disable the internal camera and use a web cam via the USB port (I used a Microsoft HD cam). Its a bit of a pain but worth it if you have no other alternative! This was also using Windows 10