As of this writing, this article is only a couple spots away from the front page. It's clearly not front page material, though.
Separating a large, complicated task into multiple orthogonal pieces, and assigning each of these pieces to its own component, has been a fundamental part of software engineering for many decades.
Separation of concerns is what OO does. Separation of concerns is what UNIX does. Separation of concerns is what TCP/IP does. Separation of concerns is why global variables are considered "bad." Separation of concerns is not a new idea.
This jargon-filled, somewhat poorly worded article is merely repeating a fundamental principle that should be obvious to anyone who's ever written any program larger than a couple hundred lines.
What is meant by "[the] client is free to have full coherence of server's public domain including all its public API, domain objects and schemata"?
"CSDS regards hypermedia an important aspect of REST; it is a semantic web of interconnected resources. Client will have full coherence of the axes of such relationships and can effectively use to navigate the semantic web - since it is part of the public domain. But for it to become the engine of the application is server dominance." These sentences are a long string of big words, but I'm not sure that there's actually anything meaningful in them.
Reading this article makes me really wish I had enough karma to downvote.
I am really happy if you think all of this is common sense. In fact a lot of software best practices are common sense but they do not necessarily consistent with each other. Even in life, "Always help others" and "Set your goals and run for them" are common sense but they will make a different person out of you. There comes a time when you are at a fork and need to make a decision and then it is down to which one is really what you believe in.
Decision to separate domains of client and server is a big one and has its implications. CSDS is common sense as is HATEOAS but they are not consistent. ROCA is also common sense but does not agree with CSDS.