Some of those could have been engraved later on to look like a Contax (how many times have I read about someone sending their IIa in for repair, only to find out its a Kiev).
It is hard to believe that - the IIa is almost entirely different, a much smaller camera size with quite obviously different layout and finder/rangefinder window locations.
The typical fake is a Kiev 2/3 rebuilt into a fake Contax II/III. When prices of the former rose by the mid nineties, production of new fakes stopped, as the conversion effort into a credible Contax grew unprofitable.
Only a few fakers continued, turning towards rebuilding the still cheap Kiev 4 and 4M into fantasy cameras with no resemblance to anything that actually ever existed, e.g. black, gold, with swastika engravings or fancy leather.
I have encountered a few examples of what may have been attempts to turn a Kiev 4 into a Contax II, but these were so half-hearted that they may as well have been intended as mere repairs for use, utilizing parts from a Contax-dressed 2/3. And I've never seen any attempt to dress a Kiev as a IIa/IIIa.
Back to the no-name Kiev - there are indications that at least part of them were sold through West German mail order retailer Neckermann, who in their turn frequently acted as an outlet for the GDR foreign export organization. It has been proposed that the latter purchased the no-name Kievs from the USSR to bundle their remaining Contax Sonnars with, which had become dead inventory after Zeiss Ikon Stuttgart had discontinued the Contax IIa/IIIa.
A after-market "made in USSR occupied Germany" by some importer does fit into that. The direct origin of the camera/lens kit would have been the GDR and where the cameras came from might have been hidden from the importers. Besides, the customs authorities of many countries demanded that socialist imports be branded with some sales deterring mark of origin, and West Germany and its allies generally refused to acknowledge the existence of the GDR, calling it "Soviet occupied Zone" ("SBZ") respectively "USSR occupied Germany" instead. The use of the latter rather than the former makes it more likely that the engravings were done by a US or Commonwealth importer than in West Germany, by the way.