My concern is not so much for movement while I'm listening (touche czarivey), although that is possible, but rather for shifting of the arm position whenever a quake occurs. Since the table and arm (including bases) do not have the same mass their likelihood and degree of movement will not be the same. And I may not even know the quake happened, and so to recheck alignment, but my system may not then sound "right" afterwards.
Of course as others mentioned there are other earth borne vibrations to be concerned with. Is there a major highway nearby? Any bus or large truck traffic? Is there construction close to you? And those are all external forces. How stable is your turntable platform to begin with?