Antonyms for the phrase "hath significance for" include insignificance, irrelevance, unimportance, neglect, and inconsequence. When a notion or object "hath no significance for" something, it implies that it is not important, valuable, or relevant to it. Moreover, the meaninglessness of the item or idea may be deliberate or accidental, but it remains true that it does not possess any importance. Alternatively, when something is classified as having "great significance for" something, it is very vital, essential, or valuable to it, and is often highly prized, respected, or treasured. In conclusion, antonyms for "hath significance for" help to distinguish between important and unimportant things, ideas, or notions.