Hello, I am waiting for this capability too!
Like aholtzhauer, restricting the view of only the date would be nice, but if it has to be restricting the pair (status + date), that can work too.
This would be my plan B in case the “when status changed to done, remove due date” improvement doesn’t go through (there’s an open ticket here: When Status changes to DONE, Remove due date / date).
What I need is that when I pick a particular Status, the date does not matter anymore (either remove it completely or remove it from view from others).