The phrase "hath relationship to" is a more formal and archaic way of saying "is related to" or "has a connection to." There are many synonyms that can be used to convey this same meaning, such as "has a link to," "is associated with," "pertains to," or "relates to." Other options include "is relevant to," "bears on," "touches on," and "has a bearing on." Depending on the context in which it is being used, one of these alternatives may be more appropriate or convey a slightly different nuance. Ultimately, all of these terms express a connection or association between two things or ideas.