if you use expression “an ehrliche Yid” more often, you would stop asking these silly questions.
But the question may be a practical one: take a person whose parnosa is difficult and borderline questionable: he has to sell baskets to women like some Tanna; or your wife works whole day and your kids are in the care of people you don;t know; or you need to rely on non-Jewish welfare … you may reduce your halachik problems by drinking cheaper milk (comparing prices at the same level of nutrition and health).