No, it wouldn't, because the 'image' is of the astronautapproachingthe event horizon. Over time, it gets closer and closer, but at an ever decreasing rate; and the increasing radius due to accretion (including the addition of the mass of the astronaut) doesn't make the radius arbitrarily larger - it never gets so big that it includes all of the path the astronaut took to reach it. So there's always a point where light was reflected off the astronaut when he was just outside the radius, even if that radius is increasing.

To use an analogy, imagine a car racing away from you along a highway. At some point, it passes a stationary black truck; And there's a moment when the back of the car and the front of the truck are exactly the same distance from the observer. Now, if the truck isn't parked, but is instead moving toward you, does that mean that there's no longer a point when they are observed to be the same distance away? Of course not - it just means that that point is closer to you than it would be if the truck was stationary.