I disagree. The Church has never interpreted this passage to mean the human will of Christ was contrary to the Divine will of the Father. This interpretation seems more and more common in Protestantism, but it was never the teaching of ancient Christianity.
Expressing sorrow for the suffering which is about to occur does not mean he “felt abandoned” by God. The protestant hermeneutic of Sola Scritpura too often leads to what is called eisegesis (reading into the text), which conjures up meanings contradictory to the ancient Christian deposit of faith.
We know from Scripture that Christ sometimes spoke from the point of view of his members, the Church. For instance, when Christ said to Saul, “why are you persecuting me”, he was speaking in he person of his members, His Body, the Church. He was not merely “pretending” or “winking” when he spoke in such a way, but was really speaking from the point of view of his members the Church. There were also other times, e.g. praying Psalm 22, where he spoke in such a way, from the perspective of his members, the Church.
So, when a faithful man prays Psalm 22, praying these words, “O my God, I shall cry by day, and you will not hear”, it is not a pretense to say that as a believer, I do indeed know that God hears my prayer. A believer can pray these words without denying this fact. It is a faithful psalm of lament, not a repudiation of faith. It expresses an appearance of abandonment, at the same time expressing faithful confidence that God will never abandon the faithful. We ought to avoid taking a line from Scritpure out of the context of the entire deposit of faith, contrary to proper exegesis.
Christ, when praying that if possible, the cup of suffering may pass by, never contradicted the will of the Father, as it is clear that he included within this prayer, “thy will be done.” This too was Christ teaching us how to pray, always in union with the will of the Father, even when what we are being called upon to do involves great suffering.