So, they are going through the door, and the cameraman is behind them: outside. You've got Leavelle in his cream-colored hat on one side, and you have the black nurse on the other side. So, they are on opposite sides, just as they are in the "iconic" photo, which was taken by a photographer on the inside, facing them the other way.
And here are the two corresponding images in a collage:
Now, you notice that Leavelle and the nurse are reversed, as to who is right and left. And that's appropriate because the two images were taken essentially at 180 degrees from each other, the top one from the outside, the bottom one from the inside.
But, that orientation actually corresponds to the film frame the way it is. It doesn't work if you flip it.
But, if we are going to consider this image as NOT being flipped, then what explains the dressing being on the wrong side?
Simple: the dressing was faked. It wasn't there. They added it to the photo.
Here it is at the PD in the image that we now know contains James Bookhout, the garage shooter of Lee Harvey Oswald.
So, the dressing is on his left side, which is the correct side. But, look at the weird shape of it. Plus, it's ridiculous, as in useless, to place a dressing over 3 layers of clothing. Anyone with sense would have lifted his clothes, put the dressing over the wound, and then restored his clothes. And, we're seeing Oswald's hand lying on top of the dressing, which he couldn't have done himself because he was unconscious. So, they did that? But, it is terribly wrong to put pressure on the wound like that. He was bleeding internally, and you don't want to increase the bleeding by adding pressure. So, why put his hand there? To hold the dressing in place? But, if they put the dressing underneath his clothes, it wouldn't be needed. But, at least they got the side right, his left side. But below, it's on the right.
Then, there is another image, the one below, in which the dressing is also on the wrong side. This was a moment before the other.
Neither of those are from the film. Both are photos and probably taken by the same photographer. But notice the shape of the dressing above. It is triangular.
The one at the PD was trapezoid, which means 4-sided but with only 2 sides parallel and of different length.
And the one in the "iconic" photo is oblong but so irregular that it's hard to describe. I refer to it as "bottleneck" since it seems to have one.
So, the dressing morphs into a different shape and size in each and every showing. What does that tell you? It should tell you that the dressing is fake; it wasn't there. It is medically ridiculous to put a dressing over 3 layers of clothing in the first place. If you were going to apply one, you would lift his clothing and apply the dressing directly to the wound. You wouldn't just plop it over 3 layers of clothes.
So, the dressing is fake. It wasn't there. No one claimed to apply it. No one reported seeing it. And it makes no medical sense for it to be there. It's just trick photography.
So, it turns out that the "iconic" photo, which is Oswald's final one alive, isn't flipped; it's just that the dressing, which is on the wrong side, is fake. It wasn't there. That's the proper explanation.