I've read a couple academic studies that said in college and NFL games the coin toss winner has won 52-53% of all games so while it's debatable what to do when you win the toss, 2% is huge when were talking about really good teams. It's more important to me to win the toss regardless of what I do with my choice.
Oh....
Fascinating.
This sent me into an IMMEDIATE rabbit hole. I love numbers. Since I don't really know the actual gears of "football" in terms of what goes on 6 days out of the week and most weeks out of the year. I have no idea what it's like to be suited up and on the field. When I can, I like to go with numbers and data, because there's enough data to overcome my lack of knowledge/experience.
So...yeah...2-3% advantage for teams that win the toss. In the NFL.
Goes up to 54.9% for teams that win the toss and defer in the NFL. Almost 5%
I could not find specific data on college. There's a few studies out there. One just shows a statistical but modest advantage (which I would guess would be 2-3%)
Another study showed a 5% advantage for college for the coin toss winner, again, similar to the NFL. But it didn't say what percent were deferring. It might be quite a bit.
But since 2014, NFL teams were deferring at a clip of 68%.
There's no actual data I could find on college rates of deferring other than suggesting it was quite high. I found that hard to believe. Deferring at a higher rate in college wouldn't surprise me. Because as you note....wind/crowd...which probably have a bigger effect in college than NFL stadiums in aggregate.
Also, as you said. It's the only way to score twice without giving the other team possession (other than some flukey kick off fumble or something). And, according to the data, this happens 12% of the time in the NFL. Which is just below the average for scoring on consecutive possession as a whole. I think scoring twice without the other team having a chance absolutely can have an unmeasurable impact. Other than, teams that defer and have a chance to do that win at a ~5% higher clip.
I've been ambivalent about it. Because I'm also in camp of "score first. You're playing with a lead." And the more you have that lead, the more the other team has to potentially play differently than they would like to. Again, unmeasurable. But teams that score first do win 64-65% of the time. That being said, the percentage that teams (NFL is only data I have) that score on the opening drive is actually 3% or more LOWER than the average percentage of scoring on any given drive.
So....I am no longer ambivalent.
-Up to a 5% overall average of winning if you defer.
-First team to score has a significant +15% overall chance of winning.
-Teams have a lower chance of scoring on their opening drive than "regular" drives.
No need to debate the nuance or football stuff I don't know about like "momentum" or "playing with a lead" or having to change the way you play when trailing. Or Crowd/wind and consecutive possessions.
The numbers are clear. Especially if you have a quality defense.
DEFER!!!!
Unrelated footnote. The advantage of deferring for OT is exceptionally high. You know what you have to do. Plus any other benefits if you can choose endzones. I don't even know if they switch endzones. Either way, I think the value of knowing what you have to do is way better. Whoever goes first almost has to go with a kick 4th and 2 at the 20.