I don't understand your concern.
The G4560 has been supported since version 0301.
The BIOS you currently have is version 0605 which is NEWER. Because you have the newer BIOS you shouldn't have a problem using the G4560.
The BIOS requirements are not "different" - you don't need to have a certain BIOS version to support certain CPUs. As long as you have the specified version OR NEWER you're fine.