As R2Elk said, the males are more about area control but the females will AGGRESSIVELY defend a nest. I had one that would SCREAM and lunge at me if she caught me with my hands in a nest. She even got really suspicious and would follow me around if I was anywhere near the coop and the minute I...
I don't know that they're any more voracious at bug-eating, but they do tend to cover a lot more ground in a day. The down-side is that they'll readily wander off your property and into roads or somebody else's land, so you'll need to put up fencing unless you want to periodically have to...