Yes, but the Docker Remote API allows for a great deal of implementation freedom -- including running on a different OS substrate. We're doing this with sdc-docker[1] to run Docker on top of SmartOS and in a SmartOS container, and the Docker folks have been incredibly supportive. Despite the rhetoric, Rocket appears to be much more bound to the OS platform than Docker -- and given @philips' comment that "part of the design difference is that rocket doesn't implement an API"[2], this binding appears to be deliberate.
It depends on how you look at it. The Docker Remote API provides an abstraction on the OS substrate and definitely binds you a lot more to Docker and their model. The "rocket doesn't implement an API" means all that it isn't really doing much more than kicking off the container and using the existing OS substrate to manage everything else.
I can see where for SmartOS & Windows the Docker approach is more flexible. If someone has already settled on Linux, but they have their own ideas about how to manage containers within Linux that have nothing to do with CoreOS, the Rocket model is going to leave them much more flexibility.
[1] https://github.com/joyent/sdc-docker
[2] https://news.ycombinator.com/item?id=8682798