Forum Discussion
Outlook Tasks management with Microsoft To-Do
An interesting perspective about Microsoft To-Do as an Outlook Tasks management tool: https://www.msoutlook.info/question/outlook-task-management-with-microsoft-to-do
The My Day list (as you correctly say) is actually a view, which IMHO makes sense primarily on mobile devices. The other lists visible in To-Do correspond one-to-one to the Tasks folders in Outlook.
But yes, if you really need the My Day view on the desktop, then seeing it in Outlook could be useful...
Is there a property of a task in outlook that flags it as being in "my day"? You could then filter the tasks in Outlook to make the "my day" view.