If you have Innate Attack and Berserk, do you prefer hand-to-hand for enemies closer than 20 yards?

The definition of Berserk seems to suggest that the berserk character prefers melee hand-to-hand attacks. However, ranged combat is mentioned. If a character with Innate Attack goes berserk, but his enemies are less than 20 yards away, can he choose to use Innate Attack instead of punching people and charging to hand-to-hand distance? If so, I assume he must still use All-out Attack and he cannot aim.