Let X be a consumption bundle. The assumption of local nonsatiation means that it is possible for a consumer to prefer a bundle that is strictly smaller than X. It does not guarantee that a consumer always prefer less of all goods. Obviously, a bliss point violates the assumption of local nonsatiation because no bundle can be preferred to that point. Indeed, if a consumer always prefers less, then the origin is the bliss point. Thus this behavior is inconsistent with local nonsatiation.