On the application of the petitioner, at any time after the return day, the court may set down all objections, except the objection that the property of the objector will not be benefited to the amount assessed against it, and that it is assessed more than its proportionate share of the cost of the improvement, for a hearing at a time to be fixed by the court. Upon this hearing the court shall determine all questions relating to the sufficiency of the proceedings, the distribution of the cost of the improvement between the public and the property, and of the benefits between the different parcels of property assessed, together with all other questions arising in that proceeding, with the exception specified, and shall thereupon enter an order in accordance with the conclusions it reaches. But this order shall not be a final disposition of any of those questions for the purpose of appeal, unless the objectors waive further controversy as to the remaining question upon the record.