If you don't show how other users voted to close a question, users would find another way to see it: They just go to the question page following the link shown in the review page, and vote to close the question from there.
I hope 3K users have enough reputation to vote to close a question because they think the question doesn't suit the site, or because it duplicates an existing question, and not because they merely vote those questions with the higher number of closing votes. Even if this would be the case, not showing how other users voted would have just the effect of getting a random reason picked up.
If they don't vote to close a question because they think the question should be closed, but simply because other users voted to close it, why do you think they would not pickup a random reason? At the end, nobody will know which reason they picked up (except developers).