I would want them to learn to be victorious, rather than simply being a winner.

Gaining victory is about triumphing over an obstacle, most of the time being your best version of yourself. It's an internal standard to live up to.

You can win a game or in other areas in life without striving to be your best.

If he or she learned that competition is a process to stive to be their best self, regardless of how others perceive their actions or whether or not they get a measure of success that would be more important. They would have learned resiliency which experts feel is an important trait to have success throughout life.