Changing systems in this way would require you to register TO3000 on each new system. Also, there may be issues with running TO3000 this way, depending on the different systems (different firewall, anti-virus and so on).

One very common issue would be that the removable storage is usually recognized as a different drive letter on different systems (depending on how many other drives exist on the system in question). Thus you may need to map the Business folder anew each time the drive letter changes.