The presentation pdf has the first image of an IS (satellite killer) that I have seen. I am surprised that it doesn't look more like Polyot.
This I think is spiral
I think IS article on Asutronautix tells of tests of a system upgrade version where satellite could engage several targets one after other; that would likely be the shotgun version.
Here's the article on Soviet military programs.
Asif, do you know if the improved IS was intended to engage multiple targets and how was it supposed to do this?