Genetic Traits of Rooster Behavior

My son proposed an interesting hypothesis today while we drank our morning cocoa and watched out the window.

"Are the traits for better rooster behavior identifiable in the more pure physical characteristics?"

Some explanation.

The original poultry stock seems to have been the wild jungle fowl. In a rooster, desirable traits are gentleness with the hens, protective nature (but not aggressive to humans, and watchfulness. We often see our better roosters feeding their hens little tidbits they have found.

Around here, we have seen that the older breeds seem to throw better roosters. Yet I have not found that the hens of those older breeds are better layers.