OK, I missed that you disagree with them. That's fine and why I started this entire discussion.
I wouldn't necessarily say I disagree with either of them. I just think we've all done a poor job of explaining the impact of earlier choices on the odds of later choices. Earlier choices have no impact on the odds of later choices but they do have an impact on reaching a later choice. Before the draw begins the earlier choices will lower the odds of drawing a later choice because your chance of reaching the later choice is impacted. This is the key to understanding this thing. If and when you reach this later choice your odds of drawing the unit are still the same regardless of what order that unit was in at the beginning.
This is due to the fact that NV goes down the your entire list of choices before moving on to the next applicant.