Court proceedings during independent administration.) At any time or times during independent administration any interested person may petition the court for a hearing and order as to any matter germane to the administration of the estate, and the provisions of this Act other than this Article shall govern any such court proceedings in the same manner as under supervised administration. If the independent representative petitions the court for instructions as to the exercise of any discretionary power, he renounces his discretion with respect to the matter before the court and the court shall substitute its judgment for his.