Personally, I'd be overjoyed to have a two-headed party member on a quest, so long as they could get along with themselves. They'd be harder to attack from the side and, if each head could sleep at a different time, they could take two watch shifts, which would mean shorter shifts for everyone in the group. Which would mean that the group would be better rested and therefore, stronger as a whole.
Personally, I'd be overjoyed to have a two-headed party member on a quest, so long as they could get