Can you cite something from the SSPX or Archbishop Lefebvre that backs up what you're saying?
https://sspx.org/en/must-priests-who-come-tradition-be-re-ordained-30479From The Angelus, Sept 2007 written by Fr. Peter Scott, the same Fr. Scott who warned against a practical agreement with Rome and was sent to a dark continent.
"...The following texts from the archbishop, taken from spiritual conferences to seminarians, refer to the intention of the priest celebrating Mass. However, the same principles can be applied to the bishop ordaining a priest:
In the old rite, the intention was clearly determined by all the prayers that were said before and after the consecration. There was a collection of ceremonies all along the sacrifice of the Mass that determined clearly the priest’s intention. It is by the Offertory that the priest expresses clearly his intention.
However, this does not exist in the new Ordo. The new Mass can be either valid or invalid depending upon the intention of the celebrant, whereas in the traditional Mass, it is impossible for anyone who has the Faith to not have the precise intention of offering a sacrifice and accomplishing it according to the ends foreseen by Holy Church....
These young priests will not have the intention of doing that which the Church does, for they will not have been taught that the Mass is a true sacrifice. They will not have the intention of offering a sacrifice. They will have the intention of celebrating a Eucharist, a sharing, a communion, a memorial, all of which has nothing to do with faith in the Sacrifice of the Mass. Hence from this moment, inasmuch as these deformed priests no longer have the intention of doing what the Church does, their Masses will obviously be more and more invalid." (Quoted in Archbishop Marcel Lefebvre, The Mass of All Time, pp. 266-267)
There can be no doubt that Archbishop Lefebvre entertained serious doubts as to the intention of some conciliar bishops when they ordain priests. In
Open Letter to Confused Catholics (p.50), he points out that the doubt that overhangs the other sacraments also applies to the ordination of priests and gives examples, asking the question: “
Are they true priests at all? Put it another way, are their ordinations valid?”
He goes on to explain the reason why he considers that a doubt exists over the ordaining bishop’s intention, for it is frequently no longer the intention of ordaining a priest to offer sacrifice:
We are obliged to point out that the intention is far from clear. Has the priest been ordained... to establish justice, fellowship and peace at a level which appears to be limited to the natural order only?... The definition of the priesthood given by St. Paul and by the Council of Trent has been radically altered. The priest is no longer one who goes up to the altar and offers up to God a sacrifice of praise, for the remission of sins." (Ibid., pp.51-52)
Hence the archbishop’s affirmation that the whole conception of the priesthood has changed and that the priest is no longer regarded as one having the power to do things that the faithful cannot do (
ibid., p.54), but rather as one who presides over the assembly. This modernist conception certainly casts a grave shadow of doubt over the intention of the ordaining bishop...."
BTW why was this link scrubbed?
http://www.sspx.org/miscellaneous/conditional_ordination.pdf