Indeed it seems so, and the draft creates confusion with respect to the rights of foreign authors. From the EDRI-gram article:
It imposes the obligation to notify collecting societies on authors each time they decide to publish their works outside the strict copyright framework.
Leaving the issue of what "the strict copyright framework" actually covers aside, the draft appearantly imposes this obligation on "authors" rather than "distributors", meaning that a foreign author can technically be subject to Czech law merely by allowing his work to be distributed in the Czech Republic. How many foreign authors will bother even trying to satisfy the bizarre requirements of a single country? I certainly won't; I'd rather use this opportunity to ridicule their legal system.
This suggests to me that if this draft ever becomes law, the obligation will instead be placed on distributors working in the Czech Republic, which in the case of domestic works may very well be identical to the authors. That also seems more in line with the purpose of the notification, to demonstrate that the distributor is (or has permission from) the author, not that the author is the author (which is sort of self-evident).
Still, that only deals with domestic distributors (of physical copies or electronic transmissions). How about transmissions originating outside the country and aimed directly at individual recipients, such as radio broadcasts or Internet downloads? Will Czech residents be prohibited from using foreign hosting services (such as SourceForge, Youtube or Wikipedia) to contribute to our global collection of information and culture without also notifying their collecting societies? How will the obligation be enforced, by threat of monetary penalties or denial of copyright claims?
While the law itself may fly under WIPO:s radar, it will be interesting to see when the first foreign "public license" work ends up in any court, Czech or otherwise, for being distributed in the Czech Republic without passing their national clearinghouse or other paperwork hurdles.
I own the copyright to everything I have written. I'd be happy to help my Czech friends throw this piece of legislation out the window, with or without their legislators clinging on to it.