In the example you used you're re-defining the class by wrapping it, not creating a global variable...

Consider it like:

  var a = 1;
  a = func(a);

Does it seem cleaner if you use the stateless functions from React 0.14? http://facebook.github.io/react/blog/2015/09/10/react-v0.14-...

  var Score = (props) => (
    <li key={props.score.initials}>
      <strong>{props.score.initials}</strong> {props.score.score}
    </li>
  );

  Score = Relay.createContainer(Score, {
    fragments: {
      score: () => Relay.QL`
        fragment on Score {
          initials,
          score,
        }
      `,
    },
  });