When expressing a statement, it's crucial to choose the right words. Sometimes, we need to convey that we're less attached or less affected by a particular issue. In such cases, "giving little weight to" comes to mind. However, there are several synonyms to replace this phrase effectively. One can use words like "disregard," "dismiss," or "ignore." Alternatively, "minimize," "understate," or "downplay" provide a slightly different but equally precise meaning. Other similar phrases include "take lightly," "shrug off," or "brush aside." Appropriate usage of synonyms not only makes your communication comprehensive but also adds variety and interest to your writing.