I promise you, just think over this here:

The only variable we are discussing here is Cincinnati. There are 8 NY6 slots outside of the Playoff, 1 goes to a G5 team. I'm going to use the same rankings but move Cincinnati in both.

1 Alabama
2 Clemson
3 Ohio State
4 Texas A&M
5 Oregon
6 Georgia
7 Penn State
8 Florida
9 Notre Dame
10 Cincinnati
11 Oklahoma State
12 BYU
13 Miami
14 Michigan

Here, BYU gets the last Auto Bid, Cincinnati gets an auto bid
Now lets change the rankings by moving Cincinnati back:

1 Alabama
2 Clemson
3 Ohio State
4 Texas A&M
5 Oregon
6 Georgia
7 Penn State
8 Florida
9 Notre Dame
10 Oklahoma State
11 BYU
12 Miami
13 Michigan
14 Cincinnati

Nothing changes at ALL about BYU's scenario. In both cases, despite needing a higher ranking in the second, BYU is fighting off Miami and Michigan to get their at large bid. There is absolutely no impact in either case made by Cincinnati. The #s change but the situation is the EXACT SAME.