Having looked at the clip more closely, I don't even think the window the Earth appears in after it moves out of the first one is even the right hand window. Judging by the shape it looks more like the lefthand rendezvous window.
Even if it is the righthand rendezvous window, however, here are some things to notice. Firstly, when the camera pulls pack from the Earth and reveals the window edge, you can clearly see the samera is pointing forwards. For a brief time the edge of the window is visible and on the right hand side you can see all the layers and the thickness of the window edge, while on the left is just the inside edge. The camera is at an angle to the glass, aiming forward. Otherwise you'd only see the edge of the window all around, not the whole thickness of the framework along one edge. The second window is clearly not one of the large square ones but appears more triangular and smaller, indicating it is a rendezvous window. Both of these point forward. Again the window is foreshortened, suggesting an angle which would be required to avoid looking right at the LM out of that window.
In shorter terms, it is entirely possible for the camera to have the same line of sight to the Earth from either of the two rendezvous windows as from the left side window, or indeed from any of the others, given the angle and location of all the windows on the spacecraft.