User blog comment:05hallr/Move channels./@comment-1038387-20130508082816

Also, as has been repeated as nauseam:

Time Warner owns:
 * DC Comics
 * Cartoon Network
 * Warner Brothers
 * The Cw
 * Much, much more.

As, via its subidaries, Time Warner owns the property, it's unlikely they'll agree to some sort of deal to change the broadcast channel. For these last 10 or so years, they've worked hard to keep their property "in the family".