Docker is evolving towards a generic "container engine" with swappable execution backends. In that architecture, lxc becomes one possible backend. ZeroVM, OpenVZ, kvm/qemu or plain chroot could be used as backends under the same management API.
In the case of ZeroVM it's hardly going to be a transparent change. You'll have to recompile all your code for one thing, and for another ZeroVM doesn't (currently) supply anything like the APIs a "normal" VM does.
