lol.
Right, so sense, in this sense, is having a good sense of judgement, unlike exploring this concept on social media.
Common in the common sense (not having common sense, sense) is suggesting the majority.
Now, good judgement is a judgement in itself and whether a judgement is good or not depends on the eventual outcome. But the suggestion that something makes (good) sense, is a judgement, but it may not be a good judgement held by the majority.
Therefore Common sense doesn't make sense.