I did not see the film in theaters as I was 12 at the time, but I racked dozens of plays of the DVD version, which has the green tint and looks "correct" to me.
(Edit: Apparently the 1999 DVD did not have the tint, but I that's not what I remember...)
It would be interesting to do a comparison between the green tint version and the "untinted" / neutral without the issues with highlights/whites.