The only reason I can think of to not finish them if they were some significant historical interest or rare. These appear to be neither so go for it. They look in great shape. I love hand quilting so may save the best one for that or find a group that would do it. That would be very appropriate for the way it may of originally be finished at a quilting bee. If you don't you can still use the tops as decoration draped on a quilt stand or as a bed sham maybe.
Lucky you. Have fun discovering everything that you have received.