I've got a strong interest on overlay networking solutions like Weave, but I'm not an expert on Docker and other container solutions.

What's the new thing here? If I understood correctly, it seems that you can connect your Docker host to an overlay network, so your containers can access other containers and resources through it. Am I correct to think this facilitates orchestration of the containers' network?

Disclosure: I am behind https://wormhole.network which could be seen as some sort of Weave competitor, but it's not. It covers other use cases, even though there's some overlapping e.g. overlay multi-host networking for containers https://github.com/pjperez/docker-wormhole - it doesn't require changes on the host itself, but can't be orchestrated.