It would be nice to have an option that Clopper-Pearson ("Exact") Intervals (and Bounds) be reported in the Distribution Platform, additionally to Score Confidence Intervals. This could be a setting in the Platform Preferences or an option under the red triangle menu for "Confidence Intervals" or additional Columns in "Confidence Intervals".
This is not a matter of arguing that one interval is better than the other (it is known that Clopper-Pearson Intervals are overly conservative) but rather a matter of offering a method that many people (and regulatory bodies) are familiar with.
There is a JMP "Calculators" Skript (under Help -> Sample Data -> Calculators -> Confidence Interval for One Proportion) that offers this type of interval, but it's not editable, e.g. if one is interested in the proportion of "Fails", these can only be labelled "Successes", and when working with raw data it doesn't recognise hidden and excluded rows.
There is a Discussion in the Community about this topic where one user provided a formula solution (from the Hahn & Meeker book on Statistical Intervals):