Removing Due Date when Waiting for Approval

So when the status of a task is moved into “awaiting approval” do you guys remove the due date, or do you leave it (causing it to seem “overdue” for the person assigned)?

In our case, we remove the date and use global custom search/reports to groom for pending approvals.

I remove the due date when “with client” for review/approval.

When I receive a response from the client, I add a due date and assign to my team. I actively review my list of items without due dates to follow up with clients on their response.