Playing a favored team later in the tournament. You mention probably the one example where we haven't come up short.
I will start with the example of the 1984 game as a #2 against #1 Kentucky on their floor. While that situation is no longer allowed the committee saw fit to set Houston up with a Sweet 16 game 4 miles from their campus. Seems like an advantage.
Then there are the following examples:
1985 as a #3, lost to #2 Ga Tech 53-61
1993 as a #6, lost to #3 Vandy 68-85
2002 as a #4, lost to #1 Kansas 69-73
2004 as a #4, lost to #1 Duke 62-72
2024 as a #3, lost to #1 Uconn 52-77
2025 as a #6 lost to #3 Kentucky 75-84
Those types of games are what I'm referring to.