Can an AFF Segment Label/Name be defaulted dynamically?

Summary

Business Unit default Segment Label/Name?

Content

Hello,

Our client has an interesting requirement.  There are two groups of users, Private and Federal.  Each group uses the exact same chart of accounts segments (security rules to handle values) with one difference.  They would like to default the name of the account segment to be "Account" for Private and "Object" for Federal.  We are considering using Business Unit to default the name/label.

Is this possible?  Is there another way to do this?  We considered multiple charts of accounts but the client does not want that.  We could also name the segment "Account:Object" but that was not good enough.  Our industry can be particular at times and we would like to try to accommodate them.