Jesus was reciting prophesy showing it come to pass. He was not feeling as if he was forsaken and crying out. What does the prophesy say, then?
"My God, my God, why have you forsaken me?"
If He wasn't forsaken, then the prophesy didn't come to pass. Correct?
Are you saying it was unbecoming of Christ to suffer emotionally?
The plasm Christ was reciting was prophetic but being a psalm it was put in poetic words to be sung so you had a poetic image. Being in that style while the protagonist sings in the first person about being forsaken in reality the psalm shows that the singer is really not forsaken.
It is like that old poster where there is footprints in the sand and Jesus was carrying you all along when you assumed he was not.