Yes, it would make a huge difference if users had a choice to view sub-tasks from the main screen. Like an outline where each sub-task was visible but indented.
If you (or anyone else reading this thread) are on Windows and would like to try a beta of Treesana which gives you exactly that - a true multi-level outline of your Asana tasks/subtasks - send me a direct Message and I can get you a beta version. (A Mac version is planned but Windows is first out of the gate.)
I vote yes for sub-sections! and subsections that collapse!