Having a stat nerd or 2 isn't going to balance the committee like it ought to. The expansion of the playoffs was inevitable & a decade from now will happen again. There's already too much money involved to trust that people representing universities & conferences with vested interests will have completely unbiased opinions. If Michigan loses this weekend what are the odds that they're still included in the playoffs considering their AD & 2 other committee members have B1G history? The SEC, Big 12, & PAC 12 have 1 each meaning the B1G has as much voting power as 3 of the other P5 conferences combined. I realize the committee turns over & any given year will look different, but that's also part of the problem. One year the B1G has a lot of voting power &, even if they're doing their dead-level best to be unbiased, an SEC school gets left out for a B1G school and feels robbed. The next year the committee turns over & the SEC has more sway, what's going to happen? At the very least what's the entire country going to assume is going to happen?
Adding more members just makes it less likely that any consensus is going to form & more likely that it'll end up closer to what we experience in politics now where "I'll agree with you on team A if you'll back me up on team B & we need to torpedo team C in order to prop ours up". What would your feelings be if there were a Stanford & Cal representative & USC is deserving to be in but 2 ADs with an ax to grind screw them at the end. With the expanded format it could be the difference between getting a bye or hosting a home game or having to travel to a hostile environment. That's too much power for people with vested interests in the result to trust completely. Bring some algorithms into the fray & help protect against those biases.
Either that or take only the conference champions, have a Champions League like draw to determine the bracket, & find the best neutral site option for each matchup with the championship alternating between the pro stadiums in LA, AZ, TX, GA, & IL.