the worried fans haven't thought that far ahead, they have Chicago Bears tunnel vision and the media fans the fire. of course the Bears would still be the Chicago Bears much like many other teams that have their stadiums in the suburbs. Somehow these fans do not get that idea and the mayor played into those fears.
They would never be called the Arlington Heights Bears (for example), the NFL wouldn't allow it. Arlington Heights is a courthouse, some car dealers, a beautiful but vacant horse racing facility and a big bedroom community.