There is no specific answer to this question.
It may possible to do as you suggest, but as to whether it will work or not, that will be determined by the restore package itself, and the choices made by the OEM.
Your Key should work as long as both the disk and the system are ASUS OEM licensed, but there is likely a model detection feature to their restore disks that may prevent you from installing it at all.
You may end up with drivers that are not right for your system. this issue will range in severity from critical to negligible, depending on how similar the two platforms really are. for instance make absolutely certain they use the same chipset. at least if your network card is functional you can download other drivers as needed.