I think that the hypotesis is one of the very few to allow a complete explanation of the enigmatic words of the dying Jesus on the cross:
33 At noon, darkness came over the whole land until three in the afternoon. 34 And at three in the afternoon Jesus cried out in a loud voice, “Eloi, Eloi, lema sabachthani?” (which means “My God, my God, why have you abandoned me?”).
35 When some of those standing near heard this, they said, “Listen, he’s calling Elijah.”
36 Someone ran, filled a sponge with wine vinegar, put it on a staff, and offered it to Jesus to drink. “Now leave him alone. Let’s see if Elijah comes to take him down,” he said.
37 With a loud cry, Jesus breathed his last.
35 When some of those standing near heard this, they said, “Listen, he’s calling Elijah.”
36 Someone ran, filled a sponge with wine vinegar, put it on a staff, and offered it to Jesus to drink. “Now leave him alone. Let’s see if Elijah comes to take him down,” he said.
37 With a loud cry, Jesus breathed his last.
Until now, the scholars have interpreted the Messianic Secret as revealed, if revealed on the cross, by a positive claim (for example, the explicit recognition of the centurion, "Really this man was the Son of God!"), as opposed to a revelation by negation, i.e. by showing what Jesus is not.
Of course, a typical example of what Jesus is not is the explicit negation, made known to readers, that Jesus is Elijiah. Only the people around believe that Jesus needs an expiation of the his sins, since they believe that he is praying Elijiah redivivus, i.e. John the Baptist. But then, if on account of it Jesus doesn't need of an expiation of the his sins, then, along the same lines, the his rapid death works as a blunt negation of the his cry on the cross:
My God, my God, why have you abandoned me?”
As rhe logic goes, if the rapid death is a direct effect of the need of a negation of the fact that Jesus is really abandoned by god, then in that precise moment Jesus's identity is going to be revealed as the identity of who is not abandoned par excellence.
Who is not not abandoned par excellence ?
He may be the first man, Adam, since he was abandoned by God after the Fall. Abandoned as a living being. Whereas Jesus is not abandoned in virtue of the his rapid death.
But I think that the original separationist reading of the Jesus's cry on the cross may reveal even more than this. According to that original reading, of which the sound in the related Aramaic translation fits better the presumed invocation of Elijiah (so Marc Stephane), is the following:
My God, my God, why have you cursed me?”
As the logic goes, also in this case the rapid death serves to deny that Jesus was really cursed, just as the readers know that Jesus wasn't invoking really Elijiah redivivus.
Jesus is who is dead because he is not cursed by God.
Who was alive despite of the his being cursed by God?
Genesis gives the answer:
14 So the Lord God said to the serpent, “Because you have done this,
“Cursed are you above all livestock
and all wild animals!
You will crawl on your belly
and you will eat dust
all the days of your life.
15 And I will put enmity
between you and the woman,
and between your offspring and hers;
he will crush your head,
and you will strike his heel.”
So the readers know now who Jesus is: he is really the Jewish Christ, and not the Serpent revealer of a higher god, different from the god creator.