Hi Ori,
I can give you a business case as I am having the same problem as Martin, and I really need a DateTimePicker where I can display an empty box as opposed to a date.
I have a database application where users can search through records of Emergency Ambulance (hint Magen Dovid Adom) calls. When they start the application, all the different search fields are blank, because it is showing all records by default. This includes the filters for Start Date and End Date. Right now, the only way I could think of to NOT search on these fields by default, was to set both of them to the next day (so if a user goes into the application today, the 24th, the DateTimePickers would show tomorrow's date, the 25th). My application knows to ignore the dates in the search filter if they are greater than today's date. But, if I had the ability to show an empty (null) value in the DateTimePicker, then I could just exclude them from the searches if they don't have a value.
That would be a much more intuitive implementation from a user's perspective, as opposed to me having to explain to them why the date fields are set to tomorrow's date by default.
Thanks,
-Danny