The competition was not about a battle of egos. Aoba's idea was that it would boost Kou's self confidence, and give herself a challenge that would motivate her to improve her art. Aoba cried not out of dissapointment at losing, but at sering how far she still had to go as an artist.
I remember one time after a high school basketball practice, I was casually playing with a teammate who was much better than me, and choking up a little bit thinking about how I wanted to be as good as him.
That's what this chapter meant to me.