My understanding is that the Anglican Church changed the ordination rite and the Catholic Church no longer recognizes their ordinations as valid. Thus, an Anglican priest would not be considered to be “validly ordained”.
Also, (I think) for transubstantiation to take place, a validly ordained priest must intend what the Catholic Church intends.
It’s a tricky issue. Edward VI issued a new ordinal which lacked sacramental form and reflected his intention to “de-sacramentalize” the Anglican priesthood; the defect in form wasn’t corrected for over a century, by which time the hierarchy in England had become extinct. So, yes, as of the late 19th century, Anglican orders were indisputably invalid, as Pope Leo XIII declared in
Apostolicae Curae (which is a fascinating read).
The problem is that in the 1930s the Anglicans forged an agreement with the Old Catholics that saw Old Catholic bishops co-consecrating Anglican bishops, or even acting as principal consecrators. Since Old Catholics indisputably possess apostolic succession, it seems as though succession was reintroduced into the Anglican Church. Presumably, Anglican bishops who were validly ordained thereby went on to validly consecrate new bishops and validly ordain priests of their own.
Of course we don’t know the extent to which valid holy orders “trickled down” into the Church. We also know that the fact that the Anglican liturgical books indisputably
now possess valid sacramental form isn’t evidence that any particular Anglican bishop or priest is validly ordained and consecrated, since the collapse in liturgical discipline has introduced all manners of novelties into their liturgies. There are even many cases of invalid “wet thumb” baptisms reported, and since an unbaptized person cannot be ordained… well, the issue is confused, indeed.
There has been at least one case of an Anglican bishop who converted to Catholicism being ordained conditionally instead of absolutely because he was able to prove, with sufficient certainty, that he was ordained in the lineage of an Old Catholic bishop; so there are already some signs that Rome knows its policy is maybe outdated, even if she has yet to formally study the issue in depth.
Re: intention, that’s an interesting issue, too. What qualifies as intention? If I am mistaken about the nature of what baptism is, does that mean I cannot baptize, or that I cannot be baptized? But that cannot be the case, because of course schismatics and heretics of various sorts harbor mistaken ideas about the Sacraments and we accept at least some of them as valid. The reason for this is that Sacraments have a symbolic character, and they have a symbolic character precisely because
we cannot fully exhaust the doctrinal content of the Sacrament – there is always going to be something about them that we don’t understand or can’t express. That’s why they’re mysteries. So it cannot be the case that the “intention to do as the Church does” necessitates understanding of what the Church does or even agreement with what the Church does. It suffices that it be
trust that one is doing what one
trusts to be the Church does, so that one cannot invalidate a Sacrament merely by having some wacky, crackpot, heretical, schismatic, or even atheistic belief. Hence even atheists can baptize other atheists!
If a properly informed intention is the intention to do what one believes the Church to be does, than what would be an example of a malformed intention? One example might be didactic demonstration. If my parish priest demonstrates the Sacrament of Confession by staging a mock confession, with the mental reservation that he does not intend to absolve the actor, then the actor is not absolved. Acting out a Sacrament in a movie would also qualify, as would parody, etc.