Supremacy is a rather limited word. We may try to use it broadly, but when something or someone has supremacy, it really is singular. Only one can be supreme. Anyone else may be close, but not quite. The same is true of superiority.
Paul says that superiority and supremacy belong to Jesus because of the Resurrection. We need to know that and remember that superiority is His by right, not ours to grasp. In Colossians 1, the emphasis of verses 15-19 is on Jesus.
It is conspicuous that this word appears only twice in the New Testament. When Paul used it, he was stating what rightfully belongs to Jesus. When John used it, he was condemning a man who wanted what belongs to Jesus. The desire to control, to be the center of attention, to have the power to exclude others, came from a heart that wanted what belongs to Jesus.
The superiority is His to have, not ours to take.
Do you have the heart of a servant or a usurper?