No, the reason for using any of
org-agenda-todo-ignore-scheduled
org-agenda-todo-ignore-deadlines
org-agenda-todo-ignore-with-date
is to get those tasks off the global todo list. They show up in your
agenda at the appropriate time and you don't need them in the global
todo list at all.
I work off my agenda first, and when that's clear then I go to the
global todo list for other tasks - and I don't want to see anything that
has a date there - since they're already set up to show up at the
appropriate time on my agenda.
You might be able to set up a column view that shows the
scheduled/deadline date and then ignore tasks with dates in the past but
I've never tried that.
HTH,
Bernt