Correct. The study of this new binary pulsar is simply a higher precision version of the work the pulsar PSR 1939 + 16 that led to the 1993 Nobel in Physics. Read Joseph Taylor's Nobel lecture for a description of the comparison of the observed decrease in rotation rate with the theoretical prediction from GR (energy loss through gravitational radiation).

While all of these observations and tests are extremely compelling, they are still not a direct observation of gravitational radiation. There is still a minutely small chance that there is another explanation for the energy loss. That's why detectors like LIGO have been built for final confirmation. Still, most physicists would say the pulsar work demonstrates the existence of gravitational radiation and the validity of GR. It certainly works for me.

edit (corrected Taylor's first name, although my initial error is still quoted below. Alas).

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