His view of the world would expand. By seeing different eras, he would understand the history and cultures of different times. He could learn about different demon clans and their ways of life. This new knowledge would make him more empathetic and wiser. He might start to see the big picture and understand how his actions in the present can affect the future and past.
Shippo might become more self - reliant. When he travels through time, he may be separated from his friends. This would force him to rely on his own skills and intelligence to survive. For example, if he travels to a time where he doesn't know anyone, he has to figure out how to get food and shelter on his own.