Dick had the Graysons until he was 8 originally. That age is still referenced in continuity, though some stories raise it to around 12. But after they died he was raised by Bruce and Bruce became his father. Tim's father was alive until Tim was 16 I think.
Jason never had any father other than Bruce (though he did have a stepmother he loved) and that definitely effects how he relates to Bruce. But Bruce and Dick aren't any less father and son because Dick had a loving family before he met him. That's why Dick considers himself so lucky, that he didn't have to grow up without a parent thanks to Bruce stepping in.