I think this would be a great feature, particularly if it was enabled at the problem level, as Jane suggested.
Just FYI, there is a little bit of documentation about the show correctness attribute within instructions to course developers
However, in my experience, the show_correctness feature only affects whether the solution is ever shown or not, but the student still gets feedback about whether his/her answer is correct or incorrect. If there are only a few possibilities (like a checkbox) then if there aren't many attempts, it's easy for the student still to figure out the correct answer. I'm personally interested in creating an exam where the students don't get immediate feedback on correctness (to try to get a more static view of their state of learning), and so the feature you describe would be great there. As a fast hack, I'm considering specifying all answers as correct when I create a problem and informing students of this setup, but it's not a great solution.
- Emma