Suppose no it cannot. The scope can point one place and the mount another. When you polar align a mount the mout RA axis remains unchanged for the whole session whereas you move to scope around the sky.
I think that is the point being made by the reviewer whom I cited.
If you do the AVX polar alignment (after a 2 + 3 calibration alignment) using a star that is high in the sky and near the meridian (as recommended by Celestron), the OTA is pointing nearly vertical so the optical axis and the physical axis of the tube are in close alignment. (The physical axis of the OTA is always exactly parallel to the direction of the dovetail bar that fixes the OTA to the mount.) In this nearly vertical orientation the gravitational forces on every segment along the length of the tube are pretty much parallel with the physical axis of the tube. In other words, the OTA is essentially perfectly straight. However, when you then tell the scope to slew to a star that is, say, near the eastern (or western) horizon, the OTA is closer to being horizontal and the gravitational forces distributed along it are not parallel with the physical axis (dovetail bar) and there will result a moment along the tube, causing some flexure. The mount itself will be pointing directly to the star, and the dovetail bar holding the OTA will also be "pointing" directly to the star (the rigidity of the dovetail prevents any flexure). So the center section of the OTA is stays aligned but the two ends of the OTA are skewed off that physical axis.
The result is that the image produced at the eyepiece will be in a slightly different position in the viewing field (i.e., it will not be centered) even though the direction of the mount itself (and the direction of the dovetail bar) is in fact pointing right at the star. If you were then to "recalibrate" on that new star you would completely confuse the calibration algorithm in the AVX. Even if you did not recalibrate, there are two lingering concerns that I have:
1. If I am trying to image a dim Messier object that I cannot "see" in the viewfinder of my DSLR, I first focus on a bright star that is easy to see in the viewfinder of the camera. Then, I tell the AVX mount to "goto" the object. If my polar alignment is good, the OTA should end up pointing to the desired destination with the object centered in the sensor field of the camera. But, if the OTA has "flexed" as described above, the mount will correctly point to the object but the object will not be centered in the visual field.
2. A more serious problem is the production of star trails for longer exposures due to the fact that while the RA movement of the mount itself is quite correct, the gradually changing flexure of the OTA (due to changing gravitational forces along its length) will make the stars in the field of view "move".
I just don't know how serious a problem this will be. I guess I will just have to try it out.