Hi !
The world quest window is a pretty damn convenient feature of ATT in order to not miss some things. However, there are some "daily" checks that are not tracked by this window: that would be an interesting new feature. While not giving information as convenient as the world quest window, I think it would fit well in the spirit of not missing on random spawning things.
I mainly have in mind things from pre-world quest expansions, e.g. champions of Chi-Ji/Getting Around with the Shado-Pan in MoP, Lost in the Deeps in Cata, and so on.

While that would be really great, the logic is completely based on the in-game API data telling ATT what is visible/available in a zone. So since the daily quest icons do not show on the map, the data isn't available to ATT to display. It possible you may see something of interest if you enable "Show all trackable things" but unlikely...

Possibly in the far future we may have some sort of 'Todo List' window in ATT where it will always show specific Things that the individual user could mark to show if not complete for the day/week. So I guess look forward to that 🙂