When Pope St. Pius X issued Divino Afflatu to replace Quod a Nobis from Pope St’ Pius V he wrote:
“Therefore, by the authority of these letters, we first of all abolish the order of the psaltery as it is at present in the Roman breviary, and we absolutely forbid the use of it after the 1st day of January of the year 1913. From that day in all the churches of secular and regular clergy, in the monasteries, orders, congregations and institutes of religious, by all and several who by office or custom recite the canonical hours according to the Roman breviary issued by St. Pius V and revised by Clement VIII, Urban VIII and Leo XIII, we order the religious observance of the new arrangement of the psaltery in the form in which we have approved it and decreed its publication by the Vatican printing press. At the same time we proclaim the penalties prescribed in law against all who fail in their office of reciting the canonical hours everyday; all such are to know that they will not be satisfying this grave duty unless they use this our disposition of the psaltery.”
I can find no such language in Pope Paul VI Misale Romanum that abrogates Quo Primum. the argument that Misale Romanum overides Quo Primum does not stand. Read the Documents:
fisheaters.com/quoprimum.html (Quo Primum)
sanctaliturgia.blogspot.com/2005/11/divino-afflatu-english.html (Divina Afflantu)
vatican.va/holy_father/paul_vi/apost_constitutions/documents/hf_p-vi_apc_19690403_missale-romanum_en.html (Misale Romanum)
Here is the pertinent paragraph from Misale Romanum:
"In conclusion, we wish to give the force of law to all that we have set forth concerning the new Roman Missal. In promulgating the official edition of the Roman Missal, Our predecessor, St. Pius V, presented it as an instrument of liturgical unity and as a witness to the purity of the worship the Church. While leaving room in the new Missal, according to the order of the Second Vatican Council, “for legitimate variations and adaptations,”(15) we hope nevertheless that the Missal will be received by the faithful as an instrument which bears witness to and which affirms the common unity of all. Thus, in the great diversity of languages, one unique prayer will rise as an acceptable offering to our Father in heaven, through our High-Priest Jesus Christ, in the Holy Spirit.
We order that the prescriptions of this Constitution go into effect November 30th of this year, the first Sunday of Advent.
We wish that these Our decrees and prescriptions may be firm and effective now and in the future, notwithstanding, to the extent necessary, the apostolic constitutions and ordinances issued by Our predecessors, and other prescriptions, even those deserving particular mention and derogation."
Does the last paragraph abrogate Quo Primum? I cannot tell since it does not specifically state that Quo Primum is abrogated.