No, the military burden was precisely the issue, starving the remainder of the Soviet economy with its demands for scarce human capital and even scarcer financial capital. (That all this military spending was not producing a competitive military made things worse.)
Meanwhile, Soviet Communism kept the Soviet Union and its satellites from moving forward, integrating with global markets and the like. Part of this was because of mismanagement, part of this was because the Cold War made it impossible for the Soviet bloc to integrate into world markets. The best-case scenarios were the back-door integration of the GDR through the FRG and the goulash Communism of Hungary. Even favoured countries like Czechoslovakia and East Germany had probably fallen out of the high-income club, to say nothing of a poorer Soviet Union that had started to deindustrialize in the 1970s.
There was a whole web of interlocking problems that made successful reform of European Communism very difficult. These did not exist with China, which has many fewer geopolitical complications and had easier gains in sight.