I don't think it should, just as I don't think creationism should. Why? Because they both contradict the prevailing theories while having a minimum of evidence. "Controversy?" Unlike creationism/evolution, there is no controversy over the shape of the Earth, becase FE has nowhere near the popular support of creationism. Unless FE gets their numbers up, all of the evidence in the world (no pun) won't let it be taught in public schools.
Are public schools the places for minority theories to be taught? Not quite. Schools exist to teach the common knowledge to our students. You may call it indoctrination; I call it doing their job. FE is not mainstream or even a considerable alternative because the database for FE knowledge is much more limited than the RE database. It is the responsibility of the individual, not the institution, to search for alternative theories.
To summarize:
Should it be taught? No, because if RE evidence doesn't fit in with what the student sees, it's her/his responsibility to investigate.
Will it be taught? No, because there are a lot less FEers than there are Christians.