The ETLs that want to promote will be willing to switch stores. Since ASANTS, different roles and/or different stores will, in theory, give ETLs a broader scope on store operations and will develop their leadership abilities. Sometimes an ETL will switch roles and stores entirely, and sometimes they will take on the same role at a higher-volume store (this is especially true for HR and AP positions). An ETL can always refuse to switch stores, but they do so at their own risk.
A very rare case: A former fellow Hardlines TM of mine promoted to ETL and was placed in another store as an ETL-Hardlines. He then was moved to ETL-Logistics and finally to STL, all in that same store. I believe he is now an HRBP in that district. In this scenario, I think this was based on the needs of that particular store and the district, and it's not something that happens very often.