I disagree, the economy in East Germany was hevily reliant on the USSR and would quickly have fallen with the USSR. The powers in your scenario may have have hesitaited but haveing a(nother) anarchistc and chaoitic state in Eastern Europe didn't look to appitizeing.
The same could be said for Lithuania, Latvia, Estonia, Belarus, Ukraine, Poland, Czechoslovakia, Romania, Hungary, Bulgaria, Moldova.....and on and on. Just because East Germany was economically entwined with the USSR, does not mean that it would not have found a new economic path like all the countries listed above. Though some of these countries have problems, I would not call any of them anarchistic nor chaotic.
East Germany was not a failed state, though it was suffering a huge loss of population when the wall first came down, this was because many East Germans had very real fears of missing out on an opportunity to escape their country and you have to understand that at the time, there was no guarantee that the wall would remain open nor that the USSR would not intervene as it had done in the past.
When such concerns were no longer, such a population loss would have slowed considerably, and even reversed to a degree.
Economically E. Germany was better off than Czechoslovakia and without unification would remain there (it still is there, for all intents and purposes, Eastern "Lander" trailing behind West but are ahead of Czech Republic).
Edit: without unification East Germany would have massive economical advantage of being FRG's outsourcing base (what Estonia did IOTL for Finland).
This is a high possibility. Instead of economic unification with West Germany, East Germany could have floated its exchange rate to give itself a huge economic advantage over West Germany that was lost in monetary union with the Deutschmark.
IMO East Germany would have become the most prosperous of the former communist bloc, ahead of Czech Republic and the Baltics. It would have also entered the EU and profited not only from EU subsidies, but would have still received considerable subsidies from West Germany (though not as much as IOTL)