Absolutely not. You have to have an understanding of Church history (how much reading have you done on the topic? do you know who John the Faster is?) and understand the often caesaro-papist relationship between the eastern emperors and the patriarchs of Constantinople (who were often jealous of Rome).
The point is, the patriarch, with the help of the emperor was styling himself “sole” bishop of the church, meaning that the other bishops were bishops in name only (nam si unus, ut putat, universalis est, restat ut vos episcopi non sitis). The popes objected not only because it was contrary to the canons of the ecumenical councils, whach gave Rome the first rank among the patriarchical churches, but also because it destroyed the episcopacy (as Gregory the Great stated, “If any fault is found among bishops, I know not any one who is not subject to it [the Apostolic See]; but when no fault requires otherwise, all are equal according to the estimation of humility.”). In other words, the pope was the chief bishops, but by no stretch of the imagination, the “sole” bishop. Pope Hadrian was reminding the council of the rank and authority of the Church at Rome, and what is more interesting, you won’t find any objection to the letter in the acts of the Council…in other words, the pope’s letter was accepted.