There is no way for Hulk to ignore or reject the powers. Nor for superman or spiderman for that matter. Superman in particular is just born that way, full stop. And speaking about action movies that nope, no big deep choices there. Even in matrix, the choice is singular scene where main character picks the pill so that movie can happen.
And I liked Bud Spencer and Terrence Hill movies, so I have seen them multiple times and consequences for choices and actions are not the theme there at all.
I have also read Spiderman comic targeted at kids back then. Half the time he just reacts to what is going on around, not having much choice nor choice being theme beyond "Am I going to do the right thing or not" false choice. Ninja Turtles had training in them ... but also they are essentially magical turtles due to some experiments or what done on them.
Average movie and entertainment in 90ties just was not that deep.
And half the plot is typically devoted to if they want to accept their new found powers or ignore them to live a normal life. So its still quite devoted to a choice with life changing consequences.