Right, of course God can convert anyone in his dying moments, but the Holy Office considered it problematic to add even the qualifier: Confucius was MOST LIKELY damned. Once you start talking like that, the floodgates open up against EENS. Now the Church has always operated on the external forum. So if someone dies to all appearances outside the Church, the position is: "they're lost". Period. No qualifiers. No hemming and hawing. Could we in the next life find that someone presumed damned was saved by some extraordinary case? Sure. But there's a great danger in starting to think that way. On earth, the Church is a visible society whose membership is clearly known and determined. According to the Church Militant, then, they are categorically lost. According to the Church Triumphant, however, they may have different information.
So, for instance, based on the Holy Office statement, you would say that there are many in hell, those who died outside the Church. Bill was Eastern Orthodox and he died last week without showing any sign of conversion. Bill lost his soul. STOP. End of Thought.
If someone asked me, "was Bill lost?" I would say, yes, Bill was lost, not saved. Otherwise, if I said, "Bill was most likely lost." then I open a crack of doubt in the interlocutor's mind that EENS may not in fact be true but has "exceptions". In fact, most people today would start immediately prevaricating: "Well, it's POSSIBLE that Bill could have been saved." or even "It's likely that Bill was saved, because he was a sincere faithful EO ... and he was a nice guy."