How does Hemingway's "code hero" connect to his story "Hills Like White Elephants"?

Hemingway's code hero is a man who could be identified as a man's man.  He likes to drink, have affairs with women, engage in physical activities such as hunting or fishing.  He is stoic and courageous in the face of danger, and handles the challenges of the world with grace and dignity.  The American in the short story "Hills Like White Elephants" shows some of the characteristics of this stock character.  This story is almost entirely a dialogue between a girl named Jig and the American.  It is told from an objective point of view, so what we know about the male character comes primarily from this conversation and a few descriptive details provided about the setting.  In this conversation we learn that the couple has been together for a while.  Their relationship has consisted of trying new drinks and traveling around Europe, and having a "fine time." 

The American is clearly knowledgeable about drinks, because the girl defers to his judgment several times when they order.  He also speaks Spanish and interprets for the girl the waitress's words.  He is clearly the dominant figure in the relationship, in his pressing Jig to have an abortion and her ultimate submission to his will. 

His actions portray the typical Hemingway hero--a drinker, a lover, and a man who does not want to be tied down.  The American exemplifies the attitudes of  of the Lost Generation about which Hemingway often wrote. After WW1, many of these young people seemed to reject the values of their parents and to have no sense of purpose and see no real meaning in life.  

However, even though the man may be the typical macho Hemingway hero, he does not come across as courageous, or acting with dignity and grace.  In his obvious desire to avoid any type of commitment to his lover, he chooses death over life, bachelorhood over family, and hedonism over love.  He says none of the words that Jig wants to him to say about marriage and family.  He seems callous and insensitive to Jig, and even though he offers to accompany her when she has the abortion, this offer seems self-serving and cowardly.