not explicitly stated before is that common problems require common solutions. The Germans and Soviets could and probably did arrive at the same or similar solution when faced with a similar problem quit independent from each other.
Could but not necessarily did. There are times when someone gets the idea first and everyone else recognises its value. The Japanese approach mentioned above (for the Ki.100 but also for the D4Y3) was admittedly directly influenced by the Fw190. As was the British, resulting in severe delays to the Centaurus engine whilst it was redesigned for aft exhausts but eventually giving us the Tempest II and Fury/Sea Fury - again, amongst others. From the US came the Bearcat. The later the Lavochkin design, the likelier that he had been influenced by the Fw190 - and why not?
There remains the possibility that the Russian team exploring German technology prewar may have been briefed on the Fw190 design, but I've seen no mention of that.