At his excellent blog, Mutual Enrichment, Fr. Hunwicke has a few posts about concelebration.
Innocent III takes it for granted that “from time to time many priests concelebrate” and adds “the Cardinal Presbyters of Rome have been accustomed to stand around the the Pontiff and to consecrate together with him” – a pretty blunt and authoritative indication from the Bishop of Rome as to the meaning of the Rites of his own Church. What concerns him is this very question of what happens if they don’t keep their voices together at the words of Consecration. “Is the one who first pronounces the words the only one who confects the Sacrament?” His answer to this is that “Whether the priests utter them before or after, their intention must be referred to the instant at which the Bishop says them, with whom principally they are concelebrating, and then all consecrate and confect at the same time”.
“Since a priest does not consecrate except in the persona of Christ, and the many are one in Christ, therefore it does not matter whether this Sacrament is consecrated through one or through many”.
He insists that concelebrants should vest as celebrants and utter the words of Consecration “just as if they were saying Mass on their own [perinde ac si sacrosanctum sacrificium singulatim conficerent]”. Benedict denies the wriggle-argument that such priests are merely saying the Words of Consecration “materialiter et recitative”, insisting that they utter them “significative”. They are true celebrants, albeit secondary ones (etsi secundarii, tamen vere celebrantes).
I do not believe that a laudable desire to shape ones liturgical praxis by the authentic customs of the Roman Liturgy requires that a priest should decline to concelebrate the Maundy Thursday Masses with his Bishop and Presbyterium.
And (paragraph 10) they concur with the judgement on Mass-stipends of Benedict XIV and those who followed him: Singuli concelebrantes stipendium legitime percipere possunt ad normam iuris.
The mature and settled inheritance, the auctoritas, of the Latin Church prescribes that, normally, each presbyter should celebrate (‘presidentially’) daily, and do so privately if he is not obliged to serve a pastoral need.
But the notion which one sometimes meets among traditionalists who have not informed themselves of the facts, that any form of concelebration is a treacherous sell-out to the ‘Spirit of Vatican II’, contradicts the traditions of the Latin Churches and the Magisterium of Popes Innocent III and Benedict XIV and the considered judgement of S Thomas Aquinas … and a lot of Counter-Reformation manualists.
This echoes my thought as well.
Allow me to repeat what I have long held:
Concelebration (for us Latins) should be safe, legal and rare. I think that, under normal circumstances (read: almost all the time), priests should say their own Masses.
That said, while I don’t especially like to concelebrate, I do so on occasions when most appropriate. I concelebrate at ordinations to the priesthood (not to the diaconate), Holy Thursday’s Chrism Mass and/or Mass of the Last Supper, and perhaps when I am with priests and a/the bishop, such as during the annual priest confab we would have during the summer. Even then, I usually would concelebrate on Mass and privately the others.