A couple of members have replaced their own PTUs and/or worked with issues on the output shaft (to driveshaft), so they likely will have more insight on the "play" issue. Otherwise, nothing seems out of the ordinary in the video. No noise at all but for that output shaft as you rotated it. Assuming the low rpm results correspond to high rpm results, of course.
Was there a pre-existing leak from the output shaft prior to PTU removal? In that case you would want to replace the seal at the very least. You have to index the output flange and the driveshaft so the driveshaft balance is maintained. Else the driveshaft has to be rebalanced.
As far as movement of the intermediate shaft, not sure if the clockspring is affected when the shaft is moved with the PTU already off the vehicle. I don't see why it would, but IDK 4 sure.