Suddenly displacing one of two gravitoelectrically interacting particles would, after a delay corresponding to lightspeed, cause the other to feel the displaced particle's absence: accelerations due to the change in quadrupole moment of star systems, like the HulseTaylor binary have removed much energy (almost 2% of the energy of our own Sun's output) as gravitational waves, which would theoretically travel at the speed of light.
I thought Einstein’s conclusion was that if the sun’s mass suddenly vanished, the earth would fly off tangentially like a ball being twirled on a string if the string broke. There would be no lag, as if the gravitational “wave” had to travel the 93 million miles.