Personally I don't really differentiate to much between the two. Customers often don't know the difference, and assume that Docker will magically scale when needed. And if you have a Kubernetes installation available, why not just run all your Docker images there.
Unless you're just using Docker for the encapsulation you'll need something like Kubernetes pretty quickly.
That's actually a pretty good way of looking at it. As an ops guy I don't really care that much about what the developers put into their containers, or at least I can shift a large part of my work with maintenance and patch management to the developers.
Somewhat off-topic.. I really wish the Kubernetes setup guides would also have a paragraph about why you would choose each option, rather than just listing how to install them.
The CNI guide[0] is especially awful here. It contains 9 (!) different options, some of which are combinations of others, with no explanation at all of how they differ. As it turns out, there is a separate page with descriptions[1], but there is no linking between the two pages, and it's in a completely different section.
I don’t disagree but that’s somewhat out of scope for Kubernetes I’d argue. The benefits or costs are varied and not simply explained. It’s probably best to just differ the docs for each runtime and have them explain it instead.