So? Faith is a necessary cause of justification. This does not mean that the Sacrament is not. In fact, Trent teaches that the Sacrament is necessary for justification also. So what's your point?
It sounds like you're trying to turn a necessary cause into a sufficient cause, and that's faulty logic.
I cannot live without water. From which you conclude that I can live on water alone.
Calm down, please!
Why fight strawmen? You ask questions, imagine possible or impossible answers of mine, just to be able to throw an accusation of "faulty logic" at me.
I have answered a specific question of Last Tradhican. The addition "(faith)" on papalencyclicals.net seems to be a hint to the reader that the relative clause grammatically refers to the faith.
Whatever conclusions someone may draw from that specific statement in question, the Decree on Justification unequivocally teaches that since the promulgation of the gospel nobody born in sin is justified without the sacrament of baptism, and that nobody born in sin is justified before the death of Our Lord.