Thanks for appreciating the short question/short answer format, Jack.
To answer your explicit short questions, I offer a decisive "we don't know." From FBI's Officers Killed Summary to NYPD's SOP-9 reports, we don't find detailed analysis of the ground surface and obstacles vis-a-vis the exact placement of officers and perpetrators, particularly in the area surrounding the shooting positons as opposed to the area between the shooters. Thus, the empirical data base to answer your question has never been gathered to a degree that would support a decisive answer.
There are essentially three schools of thought on this controversial topic: stand and deliver, move and then stand and shoot, and fire while moving offline from the threat. As you have obviously understood, the totality of the circumstances will decide which is best for each situation, so the wise shooter will internalize all three abilities to have each on tap when the given stimulus dictates one or another superior response.