I definitely would rather see the back-story before starting the puzzle, but that might actually alter the score times. (How so? Because certain categories seem to have common spacing. One example is planets in a 4x5 puzzle. The spacing category will be light years, usually 41, 43, 45, 47, and 49.) I don't know if the difference would be significant - but it might be a consideration.
I also have many times wished I could see the clues and result after the scoring because I'm often filling things in from grid logic rather than actually fitting clues together, and I never think to screenshot in the rush to submit. Sometimes I want to be able to review and see what I might have been missing that it took longer.
So, yes, yes, please. =)