The EF's differing theology and spirituality of the Eucharistic Prayer compared to the Ordinary Form's:
In a nutshell yes, and Cardinal Ratzinger said as much in a speech he gave to traditionalists in 1998. This is an excerpt of what he said:
"On the other hand, it must be admitted that the celebration of the old liturgy had strayed too far into a private individualism, and that communication between priest and people was insufficient. I have great respect for our forefathers who at Low Mass said the “Prayers during Mass” contained in their prayer books, but certainly one cannot consider that as the ideal of liturgical celebration! Perhaps these reductionist forms of celebration are the real reason that the disappearance of the old liturgical books was of no importance in many countries and caused no sorrow. One was never in contact with the liturgy itself. On the other hand, in those places where the Liturgical Movement had created a certain love for the liturgy, where the Movement had anticipated the essential ideas of the Council, such as for example, the prayerful participation of all in the liturgical action, it was those places where there was all the more distress when confronted with a liturgical reform undertaken too hastily and often limited to externals. Where the Liturgical Movement had never existed, the reform initially raised no problems. The problems only appeared in a sporadic fashion, when unchecked creativity caused the sense of the sacred mystery to disappear.
This is why it is very important to observe the essential criteria of the Constitution on the Liturgy, which I quoted above, including when one celebrates according to the old Missal! The moment when this liturgy truly touches the faithful with its beauty and its richness, then it will be loved, then it will no longer be irreconcilably opposed to the new Liturgy, providing that these criteria are indeed applied as the Council wished.
Different spiritual and theological emphases will certainly continue to exist, but there will no longer be two contradictory ways of being a Christian; there will instead be that richness which pertains to the same single Catholic faith. When, some years ago, somebody proposed “a new liturgical movement” in order to avoid the two forms of the liturgy becoming too distanced from each other, and in order to bring about their close convergence, at that time some of the friends of the old liturgy expressed their fear that this would only be a stratagem or a ruse, intended to eliminate the old liturgy finally and completely."
Such anxieties and fears really must end! If the unity of faith and the oneness of the mystery appear clearly within the two forms of celebration, that can only be a reason for everybody to rejoice and to thank the good Lord. Inasmuch as we all believe, live and act with these intentions, we shall also be able to persuade the Bishops that the presence of the old liturgy does not disturb or break the unity of their diocese, but is rather a gift destined to build-up the Body of Christ, of which we are all the servants.
MY COMMENT: I think the liturgies at the CMAA try to do exactly what Cardinal Ratzinger foresaw in 1998. By differing theologies and spiritualities, the EF is more clerical and I don't necessarily mean this in a derogatory way and the theology of the Church does not have the insights of Vatican II in terms of ecclesiology. The Ecclesiology of Vatican II is shows a fuller awareness of the Church but it isn't a doctrinal change it is a theological shift.
The spirituality of the EF Mass is more contemplative, silent and introverted whereas the spirituality of the OF Mass is the opposite although silence and contemplation are also in it but in a different degree and different way.