Will the case life cycle changes after circumstance date?

We have a requirement where we need to move one assignment to starting of the screen flow. Which we have achieved through circumstancing the flow rule (based on createdatetime) to handle inflights. Will the case life cycle show the updated sequence of assignments once we reach or cross the circumstance date?

Ideally, it should show the modified/updated assignments if the Circumstance date is met. Please check this article for more details on configuration/how it works.

Managing flow changes for Cases in flight | Pega Academy (Approach 3)