Once an Optimized Pay Equity Analysis has been completed it will not change the banding scenario regardless of whether or not the project inputs are updated or change. New/changed inputs may cause comparators to change, adjustment amounts to change or entire new years could be added to your project with new comparisons.
Any changes to the data in the project will be reflected in the banding scenario details and the Pay Equity section associated to the Optimized analysis, hence their may be new banding scenarios that are identifiable by the Optimization feature that create smaller adjustments.