Totally depends on the footing and how fast I am moving. I had an arrow on the string ready to go last week. It didn't help me much, as Schulz states in his video, "the bow hand rises slightly faster than the drawing hand." At that point the arrow is pointed up a little. At that point in my draw at the buck, I hit my elbow on stick, blew up and lobbed the arrow over the deer, 15 feet away and I blew it. "That second arrow and the ability to get it out of the quiver and onto the the string" did pay off, the second shot, although considerably longer, was perfectly placed and my buck was down in 80 yards.
It is pheasant season/fall turkey season for me now. I have a shoot at anything broad head on my bow and I still hunt for pheasant. If one trips with an arrow the string, the first reaction should be to toss the bow if one is going fall. Going down with a death grip on the bow could be dangerous. I think ambling along with an arrow in hand is not much safer than having it on the bow. while I have never fallen with an arrow in hand, I did cut my bowstring once doing that.