More coil relative to what? I know you said Pujols but isn't the amount that someone coils dependent upon that person? So. you can't really say one person coils more than another. You can say coil or no coil.
Fielder has more coil. His shoulders and core, his bat, are all coiled more than Pujols. But that is one Pujols approach. Other films show a different beast! In that gif, Pujols is only coiling his rear hip.