This is a follow-up question to What differentiates great music from good? I'm referring to singers who have some minimum standard here - those who can hit the notes, etc.
Given two singers in a singing competition, what makes one singer win the competition over the other? For example, here's Idina Menzel and Lea Salonga singing "Defying Gravity". Can we objectively say one singer is better than the other? If so, how? If not, what's the point of singing competitions?
Richard's answer to the linked question makes sense for composers, but it doesn't seem to apply to singers. For example presumably Idina Menzel and Lea Salonga don't influence each other. They might influence fans who try to imitate them, but not each other. Innovation doesn't seem to work either, since they are both faced with the same music. A composer could write a innovative piece of music, but a singer presumably can't innovate on the song someone else has written without changing it.