Davies does a good job of showing how the Holy See cannot promulgate a sacramental rite that is invalid. Most of the arguments that sedevacantists will throw at you regarding sacramental stuff is addressed in these two talks.
Davies also had this to say in his book, The Order of Melchisedech:
"As the previous section made clear, every prayer in the traditional rite [of Ordination] which stated specifically the essential role of a priest as a man ordained to offer propitiatory sacrifice for the living and dead has been removed [from the New Rite of Paul VI]. In most cases these were the precise prayers removed by the Protestant reformers, or if not precisely the same there are clear parallels.”
And…
… "there is not one mandatory prayer in the new rite of ordination itself which makes clear that the essence of the Catholic priesthood is the conferral of the powers to offer the sacrifice of the Mass and to absolve men of their sins, and that the sacrament imparts a character which differentiates a priest not simply in degree but in essence from a layman… There is not a word in it that is incompatible with Protestant belief.”
"If the new Catholic rite is considered satisfactory, then the entire case put by Apostolicae Curae [of Leo XIII] is undermined… If the new Catholic rite, shorn of any mandatory prayer signifying the essential powers of the priesthood, is valid, then there seems no reason why the 1662 Anglican rite should not be valid too, and still less can there be any possible objection to the 1977 Anglican Series III Ordinal.”
“As a final comment on the new Catholic ordinal, I would like to quote a passage from Apostolicae Curae and to ask any reader to demonstrate to me how the words which Pope Leo XIII wrote of Cranmer’s rite cannot be said to apply to the new Catholic Ordinal, at least where mandatory prayers are concerned.”
“… the differences between the 1968 Catholic rite and the new Anglican Ordinal are so minimal that it is hard to believe that they are not intended for the same purpose… It will be found that every imperative formula which could be interpreted as conferring any specifically sacerdotal power denied to the faithful at large has been carefully excluded from the new rite.”
“When the changes [to the Rite of Ordination] are considered as a whole it seems impossible to believe that any Catholic of integrity could deny that the parallel with Cranmer’s reform [the Anglican reform] is evident and alarming. It is quite obvious that there are powerful forces within the Catholic Church and the various Protestant denominations determined to achieve a common Ordinal at all costs… The sixteenth century Protestants changed the traditional Pontificals because they rejected the Catholic doctrine of the priesthood. Archbishop Bugnini and his Consilium changed the Roman Pontifical in a manner which makes it appear that there is little or no difference between Catholic and Protestant belief, thus undermining Apostolicae Curae [of Leo XIII]."
) Are they ordained in the Old Rite of Ordination?