No, because the truth of a teaching is not dependent upon the names appended to it. The Fifth Ecumenical Council furthermore makes it rather clear that it views itself as authoritative in its eighth session, despite the fact that Pope Vigilius taught otherwise on the condemnation of the Three Chapters, and refused to participate in the council. In fact,
The Councils derive their authority from the Holy Spirit, which is why the Apostles in the Council of Jerusalem spoke, “it seemed good to the Holy Spirit and to us…,” and why it was commonplace to say of the Nicene Council that its Fathers had been inspired of the Holy Spirit. But the Holy Spirit only graces those with such a charism who are right and unimpeachable in their faith. Without confessing the saving faith as spoken by St. Peter in Matthew 16:16, as professed by the God-inspired 318 Fathers of Nicaea and 150 Fathers of Constantinople in the Divine and Saving Symbol of Faith, and in the further definitions of councils which instruct as to the right interpretation of the Symbol of Faith, one can have no authority.
Documents need not be approved by anybody to be God-inspired or true. Indeed, many of the Holy Fathers themselves wrote with the assistance of the grace of the Holy Spirit true doctrine, without ever having received the approval of the people or of others. The Councils, when the promulgated the canons of certain holy fathers, or approved of their writings, these councils did not presume that they were making something true or in someway adding to the truth of those documents, but rather that they were only making manifest the truth of such things.
A Non-sequitur, for the acceptance of the people has little to do with the the truth of something. It is because you think of authority only in terms of hierarchical authority that you cannot understand the role the people play. Charismatic authority runs through all who live holy lives and confess the true faith, so that even among the people, there may be found great confessors of Orthodoxy against falsehood when some of those who occupy the episcopacy have lost their own authority by falling into teaching falsehoods over truth. The laity never stands in opposition to legitimate episcopal authority, but only to those who have lost their authority. This principle in fact is enshrined in canons which were promulgated in Constantinople in the mid 9th Century (likely in response to Theodore the Studite and the Moechian Controversy), which make it illegal to cease commemoration of one’s bishop, metropolitan, or patriarch on any grounds, except that he preaches heresy, in which case to break communion with him is not only pardonable but commendable.