“Jesus died for our sins” and “Jesus scratched his head for our sushi” are equally unintelligible. The “for” fails to connect the two parts of the sentence meaningfully.
Only on my understanding are the motivations of all actors clear.
Jesus can be said to have laid down His life, because He did not physically resist His murderers. The purpose of that was, again, to experience personally humanity at its worst, in order for Christ to decide its fate while well-informed.
Thus, St. Thomas writes that “Christ endured all suffering” and “the pain of Christ’s Passion was greater than all other pains.”
However, redemption was a contingent event in two senses:
first, Jesus did not have to incarnate at all; and
second, after being killed, He did not have to accept and bless the world.
But He did both through a freely made choice, and that is why we give glory to Him.
(Note that His killers do not include us all; if they did, then Christ would have observed nothing good in humanity, only evil, and no salvation would as a result have been achieved.)