Hath weight is a synonym for importance, significance, or relevance. It suggests that something carries weight, value, or influence. Other synonyms include weightiness, gravity, and import. These words emphasize the notion that something has a substantial and lasting impact on a situation or decision. Additionally, relevance, pertinence, and applicability are synonyms that suggest that something is appropriate or suitable in a particular context. All of these words convey the idea that something is meaningful, serious, or consequential, highlighting the importance of considering all factors before making a decision or taking action.