In my experience, once an Asana user is exposed to the notion that the tasks on today’s to-do list may have varying due dates, they understand this distinction and the value of such sections in My Tasks.
Part of my standard “Asana Citizen Training” includes this:
which is well understood, I’ve found, based on feedback with thousands of users.
I’m not sure what you have in mind with view templates, so it’s hard to comment on that.