Until we get a clear, detailed plan on how exactly the OP plans to mention or use references to the film, I cannot agree with your analysis.
Using X’s promotional material to comment on or promote X’s movie is clearly okay. Beyond that there’s no way to give a hard answer without knowing exactly what’s going on.
If I decide to make a movie about the Titanic and my Kickstarter page is nothing but stills, clips from and references to James Cameron’s “Titanic,” there’s a real possibility of a false association claim.