I disagree. A quarterback can throw a hitch play and watch his wide receiver go 90 yards for a score, and that gets way more statistical value than a 3rd-down slant between two defenders for five yards and a first down.
Depends on which metric you use. If you use first down conversion percentage or drive success rate, their value is the same. Of course the hitch play will be worth more if you use a metric with a higher correlation to wins -- like points per drive, pass rating, or TD percentage. After all, that play scored points, and points lead to wins more than first downs do.
Points per drive is a reflection of offensive lines and running backs.
No, it isn't necessarily a reflection of that. Points per drive is simply points divided by number of drives. It tells us how many points an offense scores (or defense allows) without depending on how many possessions it has (or faces). That's why it's better than points per game.
Take two defenses that allow 20 points per game. The defenses seem equal. But Team A's defense faces 9 drives per game, while Team B's faces 11. Points per drive allows us to see that these defenses aren't equal after all. It could be that Team B has an offense that can't stay on the field.
Touchdown percentage is overvalued for a quarterback with a poor short yardage running game.
TD% is not overvalued at all. Unless you want to say winning is overvalued. I think what you mean is that teams that don't run well in the red zone will have have lower TD% than teams that do, regardless of QB play. Obviously that's true, but TD% is not a QB stat anyway.
I think you understood me to mean that "the big three" (points per drive differential, pass rating differential, and touchdown percentage differential) were all individual stats. That's not what I said. I was making two points. One, that those three are the best metrics. The other, that not all the best metrics are necessarily team stats. Like pass rating, for example.
Passer rating is heavily impacted by how soft a defense with a big lead is playing.
No, that's a different stat you're talking about there -- passing
yards. Pass rating actually goes down about 10 points when teams are trailing big late (lots of INT in those situations).
This is a common confusion, though, because of all the passing
yards that come against a prevent defense. The Browns, Texans, and Commanders (all bottom 10 teams in pass rating) ranked in the top half of the league in passing
yards for this reason.
Just remember that passer rating and passing yardage are two completely different stats. Passer rating includes yards, attempts, completions, TD, and INT, so it gives you a much more complete picture. Yards is just yards. You can't just look at yards and conclude "well, stats are pointless because Jeff George had more yards than Aikman." Use pass rating. In their five best seasons, Aikman's average NFL rank was 4th and George's was 11th.
Since 2008, there have been 43 teams that finished the season ranked among the top 12 in pass rating differential, turnover differential,
and points-per-drive differential. All 43 teams made the playoffs or won at least 10 games.
I could list win correlations to prove the importance of these statistics, but I think 43-for-43 speaks for itself.