Catholics are no less vulnerable than other humans to wanting to oversimplify things. If we paused to peel back the onion layers on every issue encountered in life, nobody would ever get ANYthing done! Simplifications have their place, but it certainly is best if people recognize that they’ve settled for a simplified explanation rather than claiming to know the whole story.
The catholic simplified version of this issue is that Anglicanism as a whole went beyond schism and by virture of rejecting the reality of priestly ordination as a genuine infusion of grace that marks the priest as fundamentally different and empowered to confect the sacraments for a generation, actually LOST apostolic succession. The eastern orthodox never abandoned this embrace of sacramental Holy Orders and thus did not lose it. A.C. explains this fairly clearly even for a mere engineer like me (not renowned for our communications prowess!).
The simplified version, however, doesn’t address the complexities. What AC is too old to address and Rome has carefully ignored for decades is what effect the participation of OTHER schismatic bishops in the ordination rites of Anglican priests or bishops might have. Anglicans rightly point out that AC doesn’t address the issue and Rome seems to be taking the approach that if they wait long enough, the Anglican communion will explode into secular humanist and evangelical protestant splinters and the few theologically catholic survivors might be willing to be plucked out of the water and into the Barque of Peter, making the whole thing a moot point. That would seem a rather callous approach, but I can’t deny that it does seem to fit the facts on the ground…
In any case, I agree that catholics should not presume that the act of schism automatically severs the schismatic group from the one, holy, catholic and apostolic church. Edwin makes a point about this being rather awkward for the kind of catholic apologist who like to thump his chest in self-congratulation about the “one” part of that statement. But then, God never has been the sort to encourage chest thumping in the first place and Edwin seems the sort to me to be less inclined to accept only the appearance on the outer layer of the onion! So what’s the issue again??