I don't think I can add much, Sparko. I passed the exam in the City of Woodstock which accepts registered electricians from other communities. I call the building departments of other communities to see if they have registration requirements or bond requirements. I suspect that Chicago, in essence, is requiring that you apprentice through the union.
To answer your question, I suspect no state would allow the lic. from another state, except perhaps in the East where states are smaller and closer together, or where a city or community bridges across two states.
Dave