I'm only counting eight quarterbacks that threw 30+ TD's, but that's beside the point.
More importantly, let's look at those eight:
Brady, Rodgers, Luck, Brees, Big Ben, Manning, Romo and Rivers. If we want to count Eli, he had 29 and he's the ninth on the list. So let's count him.
Take Luck out of the equation, and what's the common denominator?
They're all over 30 years old.
Number 10 is Ryan (29 years old), number 11 was Cutler (31 years old).
So, by OP's logic, if we want to win, we have to have a QB who's 30+ years old throw 30+ TD's.