Though in this case, were they not the same thing? If memory serves, Rome accepted as an acceptable corrective the mere words “as a priest” and “as a bishop” that were added in the 1662 BCP ordinals.
This then created the appropriate form, so that even if intent were lacking, the sacrament would be conferred. Ex opere operato, anti-Donatism, and all that.
As you may know, the re-write was unrelated to the issues alleged in* Apostolicae Curae*. But if by “in this case”, you mean with reference to
Apostolicae Curae, then no, the intent and the form were distinct issues, intertwined in the judgment.The form of the consecration/ordination rite was judged invalid, due to not mentioning the power of the priesthood to offer the sacrificial Mass. But this was not uncommon; there were existing liturgical rites which the RCC does recognize as validly conveying valid orders, other things being equally valid, which do not do so, either (
Saepius Officio mentioned this). So the question of valid sacramental intent was intertwined with that of the liturgical form.
Valid sacramental intent is, as
Apostolicae Curae says, an interior condition, of, as Clark demonstrates in his ANGLICAN ORDERS AND DEFECT OF INTENTION) the sacramental minister, and not necessarily subject to positive examination or judgment. The minimum (and it is minimal) required for valid sacramental intent is for the minister to intend
facere quod facit eccelesia, to intend to do what the Church does, in the sacramental action. Since intent is an interior state, valid intent is normally assumed, if all other aspects of the sacramental action (minister, form, matter, subject) are themselves demonstrably valid. However, if there is some external aspect that permits a judgment of the intent, permitting a
determinatio ex adiunctis, that may permit a judgment of invalid intent. In the logic of
Apostolicae Curae, that was the use of the Ordinal, judged as it was in its historical context. Intent and form together were the presumptive basis of the judgment in Apostolicae Curae.
What the later impact of the 1662 rewrite, in the light, especially, of the OCs and PNCC joint episcopal consecrations, post 1932, might be, is an open question. Ott would suggest that there might be a interesting answer, logically. But it is a mystery.
GKC