Yea, I know (again I forgot), true it's implied and it's something I've agreed with for ages, but implied isn't the same as a matter of fact so you can't blame someone when they decide to explore any possible alternatives, my thought of which at least isn't that far-fetch.
And I never read the script before and frankly I nor anyone shouldn't have to either, the movie doesn't flat out say it, it's only implied and when you imply something it's possible to take more than one idea away from said implication.