If, at the time the New Act comes into effect, one parent is in fact the guardian under the provisions of Article 902 of the Former Act, or there is a guardian appointed under the provisions of Article 904 of the Former Act, that guardian does not automatically lose that position by reason of the New Act coming into effect; provided, however, that if the guardianship ends upon the New Act coming into effect, or if there is a statutory guardian under the New Act, the guardian automatically loses that position.