As the OP said, you cannot choose not to take it, it still loots to your bag. I'm not sure what would happen if you had no free bag slots, I never tried it.
Obviously, the reason you have no choice is that it would be silly to give you the choice to accept or reject the mats and at the same time give differing chances for what mats you get. Then everyone would be checking the values of the mats vs. the value of the original and this would get even crazier if you could simply try deing it over again, looking for a better result.
There has to be some chance involved, and some risk of losing out or making a killing on the value of the mats to make the game interesting. After all, if you can predict the results every time, then the game becomes boring (I couldn't bring myself to say "predictable"), at least for me it does.
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"the people can always be brought to the bidding of the leaders. That is easy. All you have to do is tell them they are being attacked and denounce the pacifists for lack of patriotism and exposing the country to danger. It works the same way in any country."
Hermann Goering, April 1946.