The importance of the papacy is to decide what the Church will teach and to be a representative on Earth.
Pope Leo the Great used biblical, historical, and legal arguments to assert the primacy of the pope among all bishops. The Council of Florence, the Fifth Lateran Council, and the First Vatican Council reaffirmed papal primacy.
“I will give you the keys to the kingdom of heaven. Whatever you bind on earth shall be bound in heaven; and whatever you loose on earth shall be loosed in heaven” (Mt 16:19)”
The teachings in the Second Vatican Council differed from the First Vatican Council because it emphasized that all the bishops and authority are from the Pope.
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