Impact of changing analysis criteria for an already assigned Initiative

Summary:

We have an OTBI analysis for an active inititiave that uses financial department numbers as the criteria. We have a request to remove several departments numbers from the existing OTBI analysis. What is the impact of doing this?

My hope is we can remove the department numbers and then manually reconcile the initiative and it will only delete assignments for the learners from those departments if they were in a "no active offering" or "not started" status. Nothing else would be effected. Is my assumption/hope correct?

If that's incorrect, what should we do? What is best practice for this type of situation?