The main argument made with parity claims paying student-athletes would lead to a larger discrepancy in the number of top recruits playing at the top universities. Recruiting classes matter because ultimately the universities with top recruiting classes are the most likely to make runs to the Championship game. If you need further proof, check out this article from ESPN discussing how recruiting data can help predict the National Champion.
However, it feels like there's the parity in College Football right now is already skewed towards the top with much better talent at the top schools in the Power 5 conferences and not many on teams from the mid-majors. The circles below represent the scores of top teams for their recruiting classes based on a few different limitations and using the ESPN top 300 recruits. The scores were determined by giving the top 300 recruits a score: the top recruit was 300 points, the second recruit was 299 points, and so on with the 300th recruit being 1 point and then summing the scores for each recruit. To determine the circle size, the school's scores were divided by the total number of points (45,150) making it so the circles can be compared within the method and between the methods. To learn more about how the recruiting class was broken down in each method, click the titles above the circles.
A quick note: the colleges, number of recruits, and scores can be seen by clicking on the circles. Including the colleges puts more of a "face" to the numbers especially when it comes to monetary value. However, the main intention is to look at the number and size of the circles presented in each method as opposed to the actual schools. Technically, the schools could change, but the circles would stay as a similar size in the future. For example, in 2018 USC performed poorly on the field, however, realistically they would likely compete for top recruits.