So you mean when it comes to upcoming tasks beyond today? Right now those that have reminders set for the day would show up in the widget. The functionality of that isn't the most consistent thing though, so getting the consistency down right would certainly be good.
That too, but no - I was speaking specifically about the reminders widget having nothing to show and taking up way too much space on the "page" to say so. Basically "if you have nothing useful to tell me go away."
I'm sure there are people that prefer it the way it is now, I'm just not one of them