Thus, since the entire Anglican hierarchy descends from Matthew Parker
Well, this is where the Church of England disagrees. Where is the evidence that the
entire Anglican hierarchy descends from Matthew Parker? And even if it did, that is a moot point (or a
moo point, as Joey would say).
Apostolicae curae, if accurate, is a judgement of the
history of Anglican orders (or at least the Orders of the Church of England, specifically) up until 1896. The document does not have magical properties, extending forward in time.
Since the 1930s, the Church of England has received valid orders, given through Old Catholic bishops. These bishops specifically made the point that these consecrations was to include everything that belongs to a bishop, presumably including his sacrificial office. As
GKC points out, when +van Vlijmen, OC Bishop of Haarlem was con-consecrator with +Cosmo Gordon Lang, Archbishop of Canterbury, the intent was to confer “…the order of the episcopate according to the mind of our holy mother, the Catholic and Apostolic Church…and to impart the same episcopal character which…we bishops of the Old Catholic Church possess, that is,
the fullness of the priesthood with each and every function pertaining thereto and with the faculties inherent in the same, in the precise sense in which the fullness of the priesthood has been understood
everywhere, always, and by all.” This is quoted from Appendix II, footnote 3, in Fr. John J. Hughes’
Stewards of the Lord (emphasis in original).
What was intended, then, was to impart on the ordinand in question ‘the fullness of the priesthood with each and every function pertaining thereto and with the faculties inherent in the same’ as that is understood in Catholic churches (‘everywhere, always, and by all,’ quite obviously citing
St. Vincent of Lerins). This clearly included the ‘sacrificial part’ of the episcopal office. This consecration, then, reintroduced apostolic succession to the Church of England (or at least reintroduced it in such a way that Roman Catholics couldn’t disagree with it without conflating validity and liceity).
This should logically imply validity, but not necessarily liceity (in the eyes of Rome). Remember, once again that validity and liceity is not the same thing.