Jabs, assymetrical cores react quicker off the dry. Why, because the cores lope and are out of balance. A loping core doesn't pick up an early roll. This makes them more angular off dry boards. They fall faster to their PSA, meaning they turn sharper.
They also bleed off energy sooner, hence a faster spin time.
Symmetrical cores have a slower spin time, meaning they store energy longer. But, they do roll earlier. Meaning they're better on oily conditions because they pick up a roll sooner in oil.
The reason Lane #1 balls have more pop is because if you keep the ball in the oil, the core is rolling, not loping, therefore, the ball is not sliding as much, which gives it more pop at the pins.
Because they roll earlier, bowlers with more side turn get them to react stronger down the lane, coupled with a slower spin time (energy doesn't bleed off as fast), they can give you more backend at times.
Overall, assym's give you a sharper breakpoint when they do hook, but this also makes them over react and more inconsistant. Does this make any sense to you..? =:^D