Create "all-day" reminder

Is it possible to create an “all-day” reminder with the Apple Reminders support? These are reminders that have a due date, but not a due time. When I create reminders with Drafts using the javascript methods (e.g., with this action) and don’t specify an alarm time, they show up in reminders as due at “12:00 AM” instead of “all-day”.

That is not currently possible with the API. I’ll make a note to address that when I do another round of scripting updates.