I'm sure there are teams that are worse (particularly those with repeated high seeds), but we're not great in the tourney.
I went through each tourney for the last 35 years and marked out how far each seed advanced, and then used that to create a prediction of how many games each seed "should" win.
1 seed - 3.35 games
2 seed - 2.37 games
3 seed - 1.86 games
4 seed - 1.53 games
5 seed - 1.11 games
6 seed - 1.07 games
7 seed - 0.91 games
8 seed - 0.70 games
9 seed - 0.60 games
10 seed - 0.62 games
11 seed - 0.61 games
12 seed - 0.51 games
13 seed - 0.25 games
14 seed - 0.16 games
15 seed - 0.06 games
16 seed - <0.01 games
Based on this (and First 4 games, where I assumed a 50/50 shot either team wins and then moves forward with the above metrics for their seed), BYU since 2004 would be expected to have won 8.05 NCAA tournament games, but have only won 5.
3 extra wins, almost regardless of how they are distributed, would be enough to change the narrative a ton.