I think "star crickets" is the wrong way to turn this phrase. Star can't modify or describe crickets, because there are no crickets, only stars. And if some, or even all, of the stars make cricket noises, they must be "cricket stars."
I wonder which stars make the sound? Or do all stars? And is it all the time, or only under certain conditions?
I'm afraid this whole thing has raised more questions than answers. But then, very scientific things often do.