In fact, Thomas Boswell has a Washington Post column Sept. 25 on what September portends for the Nationals here. Remember Manager Jim Riggleman's resignation during a Nat's win streak over a battle with the GM Rizzo? Third baseman Ryan Zimmerman (generally pretty articulate compared to some of the ballplayers in the movie) called it "shocking", sotto voce. The real life dispute between the GM and field manager with the improving 2011 Nats resembles the conflict in the movie. But there's no remark in the movie script like replacement Davey Johnson's comment about preferring hairy-chested pinch hitters (after one of Johnson's first walkoff home wins).
Nevertheless, here's a rebuke of the movie in the Washington Post Oct. 25 by David Maraniss, link. Scouts really had found the top 3 starting pitchers for the A's in 2002 without the new math. Like the question with "Social Network", is fidelity to truth necessary to win "best picture"?
Update: Sept. 7, 2018
Thomas Boswell explains the flawed Moneyball played by (Washington) Nats owner Mark Lerner and general maager Rizzo during this troubled season, here. When you have a lot of veterans on a roster in the last year of their contracts, the atmosphere gets distracting to the rest of the team. The waiver system needs reform: the Nats let the Cubs and Cardinals loot them when the Nats still had to play them.