Is there a threat of legal penalty stopping a person from responding to a DEI prompt with " I wouldn't do anything to promote diversity"? A person doesn't have

Is there a threat of legal penalty stopping a person from responding to a DEI prompt with " I wouldn't do anything to promote diversity"? A person doesn't have a right to employment with a university and the interview process is chock full of questions for which not saying the right answer is grounds for elimination. This is of course a separate issue from whether or not the statements are a good idea, but my layman's perusal of supreme court cases around compelled speech found that this almost certainly doesn't rise to the level of a first amendment violation.