I solved this issue. It took a lot of exploration. For anybody else pulling their hair out over this issue...
There a tri sensor rubber contact - the one towards the front seems to control high velocity in a sense, even though it's the time between the strikes of the different sensors that calculates the velocity methinks. The bottom of the black and white keys, as well as the black and white keys' rubber contacts are different from each other by design. In my unit, the angle of the rubber contact pcb was such that the white keys were striking the front contact pad too late, causing them all to sound unnaturally loud (hitting the other sensors too soon after, thus tricking it into thinking I was playing louder). I was able to correct the angle by literally putting VERY thin carboard as washers, under the screws that hold the Rubber Key PCB to the rest of the keyboard, thus changing the angle so that the keys weren't hitting the front pad at the wrong time. The result is that the keyboard plays correctly now!!!!! This is a picture of the difference that the cardboard made. In a perfect world, one could use washers that were the right size. I imagine that this is a factory defect, as I've come across a few folks that have had this issue. This works because the black keys rest closer to the pads than do the white keys (even on a properly functioning Privia). So, my adjustment didn't make any noticeable difference to the black key sound, only the white keys.
In the Photo, there are two PCBs visible. The rubber contacts themselves are held by three of these. The further one is corrected to be at the right angle. You can see the tiny difference. But really, it plays like my other Privia that didn't have this problem. This was the most maddening keyboard issue I've encountered yet. It works now though
Warning: If you use a material too thick, the key won't work at all or will cut off abruptly. Start small and work up. I got lucky on my first try, by comparing it to a youtube video of Privia 850 action from the side.