I am not convinced by the sedevacantist argument regarding alleged invalidity of the New Rite of Ordination. The main argument is that every part mentioning the sacrificial character of the Catholic priesthood has been removed, just as in invalid Anglican rite, and therefore the sacrificial power of the priesthood is not explicitly mentioned. However, the sacrificial character of the priesthood is explicitly mentioned in the New Rite:
"The Father anointed our Lord Jesus Christ through the power of the Holy Spirit. May Jesus preserve you to sanctify the Christian people and to offer sacrifice to God."
How is that not explicit mentioning of the sacrificial power of the priesthood? Dimonds tried to address it by making an argument that Anglicans mentioned "priesthood" and "sacrifice to God" as well, even though they do not believe in sacrificial power of the priesthood, but that proves nothing - what matters is how the Church understands these words, and she understands them as reference to the sacrificial power of the Catholic priesthood.
Not only does the new rite contain a sacrificial priesthood, but a priesthood that baptizes, preaches, and blesses according to the office. From the New rite:
"These men, your relatives and friends, are now to
be raised to the
order of priests. Consider carefully the ministry to which they are promoted.
It is true that God has made his entire people a royal priesthood in Christ. But our High Priest, Jesus Christ, also chose some of his followers to carry out publicly in the Church the
priestly ministry in his name on behalf of mankind. He was sent by the Father, and he in turn sent the apostles into the world; through them and their successor, the bishops, he continues his work as Teacher, Priest, and Shepherd. Priests are co-workers of the order of bishops. They are joined to the bishops in the
priestly office and are called to serve God's people.
Our brothers have seriously considered this step and are now to be ordained to the
priesthood in the presbyteral order. He is to serve Christ the Teacher, Priest, and Shepherd in his ministry which is to make his own body, the Church, grow into the people of God, a holy temple.
They are called to share in the priesthood of the bishops and to be molded into the likeness of Christ, the supreme and eternal Priest. By consecration they will be made true priests of the New Testament, to preach the Gospel, sustain God's people, and
celebrate the liturgy, above all,
the Lord's sacrifice."
"...My sons, you are now to be advanced to the order of the
presbyterate. You must apply your energies to the duty of teaching in the name of Christ, the chief Teacher. Share with all mankind the word of God you have received with joy. Meditate on the law of God, believe what you read, teach what you believe, and put into practice what you teach.
Let the doctrine you teach be true nourishment for the people of God. Let the example of your life attract the follower of Christ, so that by word and action you may build up the house which is God's Church.
In the same way you must carry out your mission of sanctifying in the power of Christ. Your ministry will perfect the spiritual sacrifice of the faithful by uniting it to Christ's sacrifice,
the sacrifice which is offered sacramentally through your hands. Know what you are doing and imitate the
mystery you celebrate. In the memorial of the Lord's death and resurrection, make every effort to die to sin and to walk in the new life of Christ."
When you
baptize, you will bring men and women into the people of God. In the sacrament of
penance,
you will forgive sins in the name of Christ and the Church. With holy oil you will
relieve and console the sick. You will celebrate the liturgy, and offer thanks and praise to God throughout the day, praying not only for the people of God but for the whole world. Remember that you are chosen from among God's people and appointed to act for them in relation to God. Do your part in the work Christ the Priest with genuine joy and love, and attend to the concerns of Christ before your own.
Finally, conscious of sharing in the work of Christ, the Head and Shepherd of the Church, and united with the bishop and subject to him, seek to bring the faithful together into a unified family and to lead them effectively, through Christ and in the Holy Spirit, to God the Father. Always remember the example of the good Shepherd who came not to be served but to serve, and to seek out and rescue those who were lost. .."