I agree with Pop. It is a crap shoot. Traits do get inherited, but there is the age old question of environment versus heredity. There is a real fine line between a rooster being protective of his flock and a rooster becoming human agressive. I really don't know how much whether he is handled or not as a chick or later plays into it. With some, they are just hatched aggressive. With some, I think a human does something that a rooster interprets as aggressive toward him or his flock and he gets protective. Some can handle that playing but some don't see it as playing.
I'll give an example from a post on here. A rooster was fine with the family until a 5 year old boy saw a rooster dancing for a hen. So the boy went up to the rooster and started dancing for him. Real cute, until the rooster attacked him. The mating ritual is also a dominance ritual. That rooster saw the 5 year old as challenging him for flock dominance. After that, any time the rooster saw that boy, he attacked. If the boy had not danced, that rooster may have been fine. We'll never know.
I think the more you interact at close quarters gives that rooster's birdbrain more of a chance to interpret something you do as aggressive toward him or his flock. But there are a lot of people on this forum that interact a lot with their roosters without problems. I really don't think there is a clear cut answer.