Asana has already updated these feature on the “my tasks” page. I am asking for the same update to the “my tasks” widget on the home page.
On the home page widget, tasks have a gray box allowing you to see the name of the project, but subtasks do not have this gray box. This makes it seem like the subtask is not associated with any project. This is especially difficult when you have several projects that have similar task names. For instance “create lesson 1 teaching aids” might be a subtask on many different curriculum projects, and it’s not possible to know which project unless I fully open the subtask.
Currently, I avoid using subtasks entirely for this reason.