Not. Not according to this latest study.
Normally, the per capita economic output (GDP) in capital cities in Europe is higher than in the rest of the given country. There is one big exception, however. Germany would be wealthier without Berlin.
“Poor but sexy” is out. Now Berlin is just poor. Actually, it’s been that way for ages but nobody seems inclined to do anything about it. See the current red-redder-green city government.
Jeder Deutsche wäre ohne Berlin knapp 80 Euro reicher. Every German would be about 80 euros richer without it.