I am afraid that your objection is lost to me.
When I consecrate the bread, it becomes the Body of Christ. When I consecrate the wine, it becomes the Blood of Christ. Thus, when I am referring to the ciboria, I refer to the Body of the Lord. When I refer to the chalice, I refer to the Precious Blood.
The doctrine of Eucharistic concomitance is a consequence that the consecrated element is the living Christ. A body without blood is dead. If this is the Body of the Lord and it is the living Lord, then the blood must be concomitantly present. If it is the living Body of the Lord, the soul must be present since, even if body and blood are joined but the soul is absent we are not dealing with a living body. As it is the Lord moreover, where the body, the blood, and the soul are present, the divinity must thereto be hypostatically united. Hence, concomitance.
That Christ, the Living Christ, is whole and entire under each species in no way mitigates that we are dealing with elements that become, respectively, the Body of the Lord and His Precious Blood…and that for very deep theological significance foundation to the whole Theology of the Eucharist.
Receiving under both species is not for all that without real significance; sacramental theology’s theology of sign is better served thereby.
As one whose thesis topic was Eucharistic, I would agree with your statement that “There is a widespread lack of knowledge of what the Church really teaches on the Eucharist.” But I would qualify it according to relative degrees of knowledge. As a theologian, I would feel bereft if I did not have that knowledge of the Eucharist that is derived from years of study of It at the post graduate level.
As a case in point, I would respectfully suggest that the statement "In fact, some would complain that the Precious Blood was not offered. EVEN THOUGH IT WAS, in the species of bread would be more theologically precise if you used a different preposition as “in” could, in this instance, be theologically problematic depending upon how you define “in”, although I understand from the context what you intend.
Agree with what you stated. The problem being, a substantial ( no pun) amount of the faithful do not see it via the eyes of concomitance.
They simply view it as two different substances, one being the Body, one being the Blood.
You are correct that they are consecrated in that way, but, as you stated, it is impossible for one consecrated species to be the Body of Christ, separate from the Blood. They cannot be separated, as one is receive the whole, undivided living, Risen Christ.
So any claim that the Precious Blood was not offered to the laity, or that the laity received only the Body of Christ when they received via one species would be a false one.
Hence my proposal for a learning opportunity. Offer Holy Communion via a single species of bread, and then poll the congregation to see who recognized that they received the Precious Blood as well. My expectation would be that few, if any would raise their hands.
This does not require post graduate studies to comprehend, I myself have only studied at the Bachelor level ( I was in Diaconal formation, I left when we were expecting our 5th child, and then our 6th. I did finish up the academic work, which in our Archdiocese, the theology and philosophy work is Bachelors level)
The Church offers both as a fuller sign, and rightly so. But that is of little benefit if the laity commonly misinterpret the sign to point to a erroneous reality.
The reality, as you well know is that it is the whole Christ, Body, Blood, Soul and Divinity present in each form. If the faithful view it otherwise, instruction is needed for the faithful to gain the benefit of the fuller sign. I do not see that happening.
Since the Church and our bishops desire this sign to be made known ( or else they would not have called for it), it follows that they have the expectation that this sign, and the reality that it points towards, be knowable to those without advanced theological study.
But that has not been the case. Hence my objection. The common use of the chalice has seemed to reinforce the view that the forms of bread and wine are separate substances, not whole, living Christ.