a) An implicit desire for Baptism, that is, one that is included in a general purpose of keeping all the commandments of God is, as all agree, sufficient in one who is invincibly ignorant of the law of Baptism;
This is an erroneous application of what ‘implicit’ means. Implicit does not mean some mysterious, subconscious, spiritual yearning of which the person is not aware. A person ignorant of baptism CANNOT have an implicit desire of it. It’s impossible.
The Modernists have twisted the idea of implicit to mean some ambiguous “yearning for God”.
An implicit desire for baptism necessitates that one a) knows about Christ/Church, b) believes in Christ/Church, and c) is interested in joining the Church, but hasn’t expressed this clearly. Anything less than this, is not an implicit desire.