In my experience managing tasks in the Time View is ineffective. Currently the only option is to only view the tasks for the day and the unscheduled tasks which I never touch. In my experience I find myself having to go back to the list view and changing the due date in order to manage it in the time view. For me, many things would be solved with the ability to modify the right sidebar to have the ability to view overdue tasks, upcoming tasks, and unscheduled tasks.
Also, In time view you currently have two options, all spaces or view one of the spaces. It would be great if there was a third option to make a selection of the spaces you'd like to be viewing.