This kind of thing sits alongside "it is important that justice is seen to be done" in my list of phrases that will preclude you from being taken at face value ever again.
Kind of. In law, actual justice is obviously the top priority, but it's also important for social stability and the effectiveness of the courts that justice appear to be done. (Otherwise, people may not respect court decisions even when they are just, etc.) Luckily, these two properties are usually complimentary. Given actual justice, the appearance of justice usually follows through transparency and the like.