I'm not sure why you're being so obtuse about this. They had to put an AQ on that line 12, the way the bracket was set up. If we had lost to Dayton, they could put us where they wanted, and it just bumps all the at-larges down a line until the last one in gets bubbled out. But they weren't going to seed Dayton over any at-large teams.
The only thing I'm unclear on is how much discretion they have in moving the seed lines of the play-in games themselves. Perhaps they could have done that.
Anyway, it worked out in our favor. We got a soft 5 and then Morehead State. As others have pointed out, if you want to make the Sweet 16 as a low seed, 12 and 13 seem like your best options, as you avoid 1/2/3.