I'd like to play devil's advocate for this one so here goes:
It simply boils down to choice being nothing more than the outcome of mere measurement. The point of measurement is to get closer to right or accuracy. Therefore if we are measuring, then we are just trying to be as accurate as we can be and that is what actually matters. The point is not to have options. Options are as irrelevant is the ability to have a ton of other less accurate measurements.
I contend the problem that keeps people from seeing it clearly is all the assumptions that get in the way because people are still looking at it wrong for the most part. And the questions that arise as a result of how that doesn't fit with how we conceptualize and experience reality are many, because we built our conceptual framework to assimilate (Piaget assimilation vs accomodation) our notion of free will. By and large, I see it as choice is seen as valuable and important for its ability to give the best chance at getting things right, because the person most affected by the choice can often see possibilities and risks that others would not, and we could describe that the same way that we do for people who are "out of touch" with a social class, ect. So we value our ability to make choices, because the alternative is of high risk to not only our safety, but also our chance at getting the best. And safety isn't always part of that. We value what is right over what keeps us safe. That is why we can socially shame people into not being cowards in battle, and socially reward people into dying for their comrades, or for their faith.