Does labor really progress faster? Baby comes out faster?

My first labor was already pretty quick. With my son I labored for 14 hours at home, until I had the urge to push. Then we raced to the hospital (5 mins away) and when they checked I was 9.5cm. I pushed him out in 20 minutes, no epidural, just like I wanted.

My OB said to come to the hospital “earlier” this time, to avoid having the baby in the car 😳

Everything felt very fast the first time... So now I am stressing about when to leave for the hospital once the contractions begin. Aiming for another epidural-free labor.