Ability to add and edit columns (sections) in any user's My Task list

I know I can add any columns to My List view, but it seems like I cannot add columns when viewing the Task List of other team members.

Example: I am John, but I am viewing Alice’s task list. In this view I only see Date, and Projects as extra columns, but I need to see the Priority of all of her tasks. This view has no “+” UI to add a column.

Is there a way to achieve a full list view for each user that displays any columns I choose?