Woah I just did the math. PSU loses points at 133, 141, 157, 174, 184, 197, and Hwy. That's 7 top 2 seeds in which PSU loses points compared to Iowa probably only losing points at 125, 141, and 149. This has to be an actual interesting reason why we don't win B1Gs at nearly the same rate as NCAAs.
I thought the same thing with PSU losing bonus points in the first round while others get them. However, looking at last years results there was not one time where Penn State had a bye and Michigan did not where the Michigan wrestler actually got bonus points. Now if you are claiming if all wrestlers were to wrestle in the first round (obviously need 16 per weight) Penn State would get enough bonus points to change the team standings you might have a point. For last year these were the PSU/Mich byes and the most likely outcome (imho):
125 PSU Drew Hildebrandt - no bonus (given the way he wrestled)
125 Mich Nick Suriano - a bonus. (75.00 % bonus rate in 2022)
133 PSU Roman Bravo-Young - a bonus. (54.55% bonus rate in 2022)
141 PSU Nick Lee - a bonus. (54.55 % bonus rate in 2022)
174 PSU Carter Starocci - a bonus (56.52 % bonus rate in 2022)
174 Mich Logan Massa - a bonus (41.67 % bonus rate in 2022...this one could be either way)
184 PSU Aaron Brooks - a bonus (63.64 % bonus rate in 2022)
184 Mich Myles Amine - a bonus (30.43 % bonus rate in 2022...this one surprised me and very well might be a no bonus)
197 PSU Max Dean - a bonus. (45.83% bonus rate in 2022)
So in summary last year PSU could of expected bonus for 5 while Mich for only 3 (2 if you say Myles Amine does not score a bonus). At 2 pts for a fall, 1.5 for a tech, and 1 additional point for a major decision PSU left between 5-10 points on a the table. Mich left (if you give Myles Amine the bonus) between 3-6 points on the table.
The final score was Michigan 143, PSU 141.5 or 1.5 pts seperation. In this case yes not having every wrestler wrestle the same amount of bouts probably changed the outcome... but there is a catch. If you have a bye you wrestle one less bout so potentially you are fresher later in the tournment giving you an edge. Also your first opponent in the second round is likely to be lower ranked than those that did not have a bye giving a better chance to bonus.
You could model those out based on results over the last 12 years (or since wrestling was invented) and come up with a statiscal team point advantage or disadvantage for getting a bye.