Webrtc is based on peer to peer, and peer to peer is based on hole punching. Assumption would be using public ip address to make 2 way communication possible between parties behind routers and behind firewalls.
So the public ip address has to be kept unchanged during communication.
I don't think load balancing would change the public ip address, but I am not an IT guy, so I could be wrong.
I would be more concerned with the firewall policy that prevents hole punching placed by some organizations.