On the classification, it looks like no one has done a modern revision of the genus and actually looked at the delimitation of the individual species and their relationships to one and other all together. So far it has been done piecemeal. Reading between the lines, there is a very good chance some of the forms are good species. This has certain implications for hybridisers using natural forms like that Canadian hybridiser whose name has escaped me for the moment. (Gil Stelter added 18/12).
The relationship of the daylily Family to other Families is difficult to decide apparently based on current information. That they have been put it with grass trees Xanthorrhoeaceae I find amazing and counter intuitive. I will take some photos of grass trees tomorrow and post them.