The observations were made in the mid-1970's. As time went by, the precession of the orbiting pulsars moved the beam out of the Earth's line of sight. The signals became fainter, and were nearly gone by 2003. (It had been a serendipitous occurrence that the signals were detectable in the first place.)
In 2004, Professor Taylor co-authored a paper reviewing new data from this binary pulsar, and pointing out the loss of signal. They also speculated on factors that could explain the 0.2% discrepancy. The calculations required more detailed knowledge of "galactic constants" (size and shape of the galaxy, the Earth's actual location within it, the pulsars' distance, the pulsars' proper motion, etc.) than had been available. They noted that, since the pulsars had swung out of view by that time, "it seems unlikely that this test of relativistic gravity will be improved significantly."<ref>J. M. Weisberg and J. H. Taylor, ''[httphttps://arxiv.org/PS_cache/astro-ph/pdf/0407/0407149v1.pdf Relativistic Binary Pulsar B1913+16: Thirty Years of Observations and Analysis]'' (July 7, 2004).</ref>
Further observations of this sort will have to wait until another binary pulsar pair swings into view.