Not to split hairs, but I think history suggests that being a better team increases your odds of getting to the FF. I think the selection committee gets a heck of a lot more right than they do wrong, so it makes perfect sense that better seeds advance further historically... because they're the better teams.I'm not looking at PU or any other individual team. Just looking at the numbers from the past 32 tournaments. The #4 seed has a 15% better win % than the #5 seed in the first round. #1 and #2 seeds have won more titles then all other seeds combined. Things like that. It isn't a "cake walk" for anyone, no argument there. But history suggests strongly that your odds of getting to the FF are better with the higher your seed #. That is all I have been saying. For some reason people want to dismiss the seeding #'s like they have no bearing. I don't understand why? Maybe they confuse this position with one where I'm saying "If only PU would have gotten a higher seed they would have gone further". I'm not taking that position at all. This has nothing to do with PU or any particular team.
Side note... I haven't done as much data crunching as you have on this, but I wonder if the big gap between 12 and 13 seeds is that the 12-seed is generally the last entry point for a power-5 team and 13 is where you start seeing low-major conference winners. If there is bigger gap that exists between 12 and 13 seed performances as compared to gaps between other 1-seed deviations, that would be one potential theory as to why.