Antonyms for the phrase "having implications for" would include words and phrases like trivial, insignificant, inconsequential, immaterial, unrelated, and unimportant. These words all suggest that the topic or situation in question has no real impact or consequence on other matters. Conversely, synonyms for having implications for would include "being consequential," "having ramifications," "pivotal," and "far-reaching." Using antonyms can help clarify and simplify language to ensure that readers or listeners understand the significance or insignificance of a particular topic, event, or action. By using the right words, communicators can convey a precise meaning and avoid confusion.