Interesting read, but not even remotely accurate.
If he wants to base it solely on championships (which he shouldn't) the teams that he mentioned as being the only "new" teams to win a championship, along with the Florida schools, which can't be discounted just because he says so, have won 16 championships. That's 16 since 1973, when the rule was enacted. If my math is correct, and even if it isn't, about half of the championships have gone to schools that hadn't won before the rule was put in place.
Championships can't be the only measure of parity in a world with over one hundred teams. Being able to compete is huge. The little guy isn't going to build a program and win consistently due to money and exposure. Players and coaches want to go where the money is. A small program wins for a couple years, and the coach gets hired away. The big guys may not be getting all of the players, but they're still getting the best players. Teams in the MAC cannot get the big-time recruits in the quantity needed to win a championship, because of coaching turnover, not as nice of facilities, and nowhere near the exposure that players want, in order to make it to the NFL. With the 85 scholarship limit the little schools are able to play higher quality football, with the chance of occasionally upsetting a bigger school. The higher quality that they're able to play increases the interest in the smaller schools conference games, and increases attendance which increases revenue.