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Not sure what you paid, but I don't understand / that's not even possible. The bigger games (Texas, LSU) would net you 3x-4x (at resale) what you paid for the entire season if you purchased them at face value. Unless your seats are in an undesirable location.
Assuming your definition of "face value" is the price the season ticket holder pays for the tickets (as there is no face value on the tickets) , it's very understandable and highly likely that that ticket holder lost money.
I'm going to disagree with you on a few of your statements. Look at 2025 home games, for example. The biggest money maker for season ticket holders reselling this season was South Carolina at about a 50% markup. Miss St and Florida were about +10%. The losers were Utah State (a 60% discount) , UTSA at a 35% discount - the season opener, and Auburn at an almost 50% discount.
The cost to season ticket holders is always more than buying on the open market. What they get in return is the same seats around friends / family in a location they like, and the warm feeling of supporting TAMU athletics. As of a few years ago, there is no tax advantage.
If you are paying 3x-4x times "face value" you are doing something wrong - and that is if you're buying seats weeks or days in advance. If you like a little rolling of the dice, wait 'til a few hours before kickoff. Tickets will be there - maybe not optimum seating, but they will be cheap.
If I'm buying extra seats, I have a good idea where I want them to be and can find them a week in advance - and it's going to be armchair, good views, in the shade on hot days, etc.
And all that is for a season where the Ags were undefeated in 11 games. The hit to season ticket holders is usually worse.