My understanding was that this was based on the fatality risk of the child on the side that was struck, and that being outboard on the opposite side of a side-impact was actually less risky than being in the center.
The particular study that you quoted specifically says that it is overall reduction in fatality rate for center vs outboard from all impact directions and is not limited to outboard on the side that was struck.
I have seen the study (somewhere...) that says that if you can pick which side you get hit on, then you want to be outboard on the opposite side, not center. That is correct, it's just not what the studies I was quoting were saying.
Meaning, being in the center is only safer because you don't get to pick which side you get hit on. That's great if you've got only one kid, of course, but when you've got two it becomes quite a bit more academic. The one you're putting outboard is already at greater risk - why not not really minimize the other child's risk by placing him/her even further from the point of impact 50% of the time?
I'm not sure I explained that well - does it make sense?
I does make sense at first blush, however, the difference between center and outboard with impact on the same side does not equal the difference between center and outboard with impact on the opposite side. I'm going to make up some numbers based on my memory of the gist of it for discussion. Let's say that being outboard on the same side as impact is 50% more likely to be fatal than being center. And center is 10% more likely to be fatal than outboard on the opposite side from impact. This is because on the same side as impact, it only takes a few inches of intrusion before you get in that child's space, but it takes closer to 2 feet of intrusion before you get into the center child's space. More crashes will have some intrusion than a lot of intrusion. That is why there is a bigger safety benefit by not being on the same side as impact, vs moving from center to opposite side.
So you have a two-row vehicle and two children. At least one child has to go outboard, and the other child can either be outboard or center. Scenario A, one child is outboard driver's, one is center, and side impact is on the driver's side. The child who is in the center could have been 10% safer by being outboard. Scenario B, one child is outboard driver's, one is center, and side impact is on the passenger's side. The child who is in the center was 50% safer by being in the center. The child is overall safer by being in the center than s/he would be by being outboard.