Antonyms for the word "more unconsequential" can include significant, notable, substantial, meaningful, significant, important, and consequential. These terms are used to indicate the degree of importance, impact, or relevance of a particular matter or situation. While "more unconsequential" refers to something that is not of much significance or importance, antonyms such as significant or consequential indicate the opposite, highlighting the gravity or importance of the situation or matter. In many cases, the context or situation in which the term is used can help to determine the most appropriate antonyms to apply.