After oral argument in the titanic battle Wednesday over the antitrust status of the National Football League, it did not seem that the NFL would have an easy touchdown in its long quest for baseball-like immunity from antitrust laws.

In fact, if there was any winner during oral arguments at the U.S. Supreme Court, it was baseball itself, as several justices confessed they are more familiar with baseball than football and lapsed into talking more about the Red Sox and the Yankees than the Patriots and the Giants. “I know baseball better,” Justice Stephen Breyer confessed at one point. “I don’t know enough about football,” Justice Sonia Sotomayor said at another.