Manipulating of task rendering template

I’m trying to introduce the index page of uncompleted tasks. I’m using notes as projects that contains related tasks.

On the index page I want to have not only tasks themselves, but also attach visible link to the project/parent note. Also, I don’t want to see task details on that page, just task summary (first line).
So, effectively, I need to manipulate task rendering template, but not loosing relation with initial task (I know I can do magic using dv.markdownTaskList(tasks), but I`ll lose relationship with initial one in this case).
Is it possible to achieve using standard dataview plugin?