This Ecumenical Council dismisses that theological disputes may be resolved unilaterally by the popes. They must be solved by all the bishops coming together in a holy synod. Sure enough, Vigilius eventually submitted to his brother bishops.

By the way, Constantinople II was only following the Apostolic Canons: “But neither let him (who is the first) do anything without the consent of all; for so there will be unanimity, and God will be glorified through the Lord in the Holy Spirit.”

So, when the Patriarchs of the East resisted Rome in 1054, they were not rejecting the papacy. On the contrary: they were defending papal primacy as it was understood by the Fathers of the Church, including and especially the holy orthodox Popes of Rome. https://orthodoxreflections.com/when-the-popes-were-orthodox/