A standard client connection works off of the Computer name and MAC Address. If you rename a PC, it will create a whole new entry into the CurrentWare Console.
A stricter client connection works off of the Computer name and MAC Address. If you rename a PC, it will update the existing entry in the CurrentWare Console.
With the computer name only option, it will only ever look at the computer name and not refer to the PC MAC address. This can result in multiple entries for the same PC if not managed correctly.