Not anymore they don't. Georgia and Armenia were the richest as parts of USSR, but then they became independent and suddently needed to support themselves - they're pretty poor countries now.
Independent Ukraine failed to catch up with its 1990 GDP/person, as far as I know. I of course understand that direct comparsions between socialist and free-market countries are flawed.
Now, Baltic states fared better, but they got onto EU, making it not a fair comparsion.
You are trying to sell me the futility of argument on HN? Why bother writing anything then?