A Sacrament is not a sign that points to something else, though.
A Sacrament is a sign that is or does the thing that it signifies. It doesn’t point to something else - it is the thing that it signifies. The pouring of water in Baptism is the washing away of sins; it doesn’t just signify it - the priest in the Confessional is Jesus Christ forgiving you of your sins; he doesn’t just signify it - and the bread and wine are the Body and Blood, Soul and Divinity of Jesus Christ.
Correct, Each species, by itself is a Complete Sign, in that it that the Grace indicated is accomplished. One gets no more Grace from recieving both species than one whould from only a single Species (by definition, as we are recieving Christ who IS Grace).
As you yourself noted before, each Species is FULLY the Body, Blood, Soul and Divinity of Christ. Therefore, if the sign presented by the reception of two species was “fuller”, then the Body, Blood, Soul and Divinity would be “fuller”, but that is clearly impossible.
So if one species alone is a Full Sacramental Sign, what exactly does the Chruch mean when it says 'fuller sign". It can’t be refering to Signs of the Sacrament, because those are accomplished.
Therefore, it must be a seperate sign that is fuller. Which is exactly the case; it is a sign of our PARTICIPATION in the Sacrament.
But that is seperate from the Sacramental Sign itself. And that is one that DOES point towards a deeper Reality, the participation of ourselves in the Body of Christ. But as I mentioned above, this IS something that is pointed towards, a deeper reality. And thus, the need for ‘fullness’ will depend on the individual.
Now what does it mean to ‘participate’ in the Eucharist. It doesn’t mean having both species, that, as we mentioned, is the sign, not the reality. What it means is to accept the Christ one is recieving into one’s heart.
Have you read Cardinal Arinze’s letter, where he describes the reception of the Eucharist by one species to be the common means of distribution in the Church, This is by design. Because it encourges a Catholic to particpate in the Eucharist via their catechesis, and to recognize the simple sign of partitication as they recive the Full Eucharistic Sign in a single species.
Far too often, I find Catholics who ‘miss’ the chalice when it’s not offered (perhaps at a different parish). It means they seek the sign more than they do the reality,