Your rooster is behaving like a real rooster should!
I have 5 roosters at the moment and each one has a very different personality. Most are like yours, they won't even eat treats like mealworms. They will hold them and call for the girls to come get it.
One of my roosters loves to 'mother' the young chicks and 'teenagers'. He herds them around and is very protective of them. So funny to see him in the middle of his group of pupils. He is like their teacher.
My boss roosters loves to do the 'rooster dance' around the hens, dragging his wing and showing off.
I have a 'selfish' rooster. He pushes the girls out the way to get to the treats and eats them down as fast as he can. I never saw him share any. He also likes to trick the younger birds to run to him by calling them like he has a treat......then he will give them a really hard peck on the head...sending them screaming off. He is low down on the rooster pecking order, but he is always pushing his luck, mating with the hens right next to the boss rooster, and pushing to get the feed. He always gets a telling off and is chased off, but he keeps sneaking back!
He also snatches and food off me.....all my others take the treats quite gently.
I love watching all my roosters and chickens interacting. Very relaxing...like watching a fish tank.