A group called the Steering Committee for the National Consecration of Ireland to the Immaculate Heart of Mary is, as the name suggests, seeking the consecration of the nation of Ireland to the Immaculate Heart of Mary. In their FAQ, they say (in the answer to the last question):
Some theologians teach that without Mary’s free fiat of “Let it be done to me according to thy word” God would not have worked the incarnation and others go as far as to say that without her perfect faith at the foot of the cross He would not have worked the resurrection.
Who are these theologians, and how generally accepted is their teaching in the Catholic Church? I'm curious whether there are important Catholic theologians who disagree - basically, whether there's a debate about it.
For the second part specifically - do these theologians suggest that in this case, Jesus would have simply died and not been resurrected? Do they believe that Jesus would have died, and yet our redemption would not have come about?
(I thought we had a past question which touched on the Annunciation part, but I can't find it right now. In any case, I'm pretty sure the second part is new.)