I am sure they look at the script---- they have to go out and sell it, and I'm sure your right, maybe some are more hands on then others, but its mainly about Finance --but then again, I am only quoting Wiki & Google , mainly because I just thought they knew more about this then me. (The underlines are from Wiki.)
Executive producer
From Wikipedia, the free encyclopedia
Executive producer (EP) is one of the top positions in the making of a commercial entertainment product. Depending on the medium, the executive producer may be concerned with management accounting or associated with legal issues (like copyrights or royalties).[citation needed] In films, the executive producer generally contributes to the film's budget and their involvement depends on the project, with some simply securing funds and others being involved in the filmmaking process.[1][2]