Imagine I have a subtask "check out on internet". If this shows up in a search, filtering or whatever (e.g. because it is starred) then I see it and think: "What the hell should I check out on internet?!" Then I click on the little subtask icon to see that it is part of the parent task "get a new notebook" and only then I understand what the task really is.
The drawback of this is first of all an extra mouse click. But second, when I do this, it opens the whole parent task, which makes me look at all of the other subtasks. This distracts me from the actual task I should do now.
I am not sure about what solution is best. I think it is part of the whole 'flattened-hidden-indented" problem. But in the end I would like to have a possibility to see for each of the subtask that are in my view also the name of the parent task.