Why Graf Zeppelin offered the Soviets little value

Could the Soviet Union have made useful operational use of Graf Zeppelin after World War II?

No. The captured carrier was too incomplete and damaged to become a practical Soviet operational asset.

Graf Zeppelin was too badly mangled to offer the Soviet Navy a practical operational carrier. Capturing a famous hull did not supply the completed systems, doctrine, trained air group, or support structure needed to use it. The case separates the symbolic value of a war prize from its actual military utility. It also cautions against treating an incomplete carrier as a ready shortcut into naval aviation.