If they keep it to prohibiting a picture, fine. But MLB has been trying to claim that the name is intellectual property. I'm not sure they'd need a new law, more an interpretatin of an existing law.
Regardless the greedy owners and players need to be careful and realize how much of their viewing audience is solely due to Fantasy Sports.
Baseball lost that fight months ago.
http://www.cbsnews.com/stories/2006/08/08/business/main1877750.shtml