A heavy jacketed hollow point, say 240 gr. in .44 caliber offers the advantage of expansion (for a good wound channel) while retaining its mass at the base for deep penetration.
Light bullets often expand too much, offering too much frontal area and limiting penetration.
The light bullets work well on groundhog, coyote and similar critters, while the heavier bullets work better on heavier, and edible, game.
As far as cast bullets, the more lead, the better.