Around this time, Paramount were trying to turn 27-year-old Johnny Depp into a movie star.
A Face/Off where Depp pretended to be Cage and Cage pretended to be Depp?
In sum: Face/Off would have starred Nicolas Cage and Johnny Depp, except it was not about hockey.
For a fascinating example of all of the above, I direct your attention to a great article at Shortlist (via The Playlist) about the history of Face/Off.