It doesn't seems like a trivial feature, given that the Docker API continues to respond while they shut down the VM. So there must be some local proxy that is answering API requests and then spins up the VM again when necessary.

I suspect that this will be a closed-source implementation specific for Docker Desktop (but I haven't looked), so somebody would have to reimplement this as an open source project. And then maintain it to keep compatibility with moby changes. And the whole work might need to be repeated for containerd.

So I suspect this will be a rather big effort, but would be happy to learn otherwise