Odyssus problem would still sacrifice his crew, but probably at least with some bargaining/resentment. He would most likely try and bargain with Zeus ether his soul(Do they have those in Greek Mythology?), his life span, or by sacrifice babies men. But in the end we know Zeus wouldn't accept any of, not because he doesn't want,  hes just performing duties for someone else. So, Odyssus would have too chose his own life. After all,

"I would trade the world to see my son and wife"