SUSE allows you to configure the udev rules via YaST. By default SUSE does bind by MAC address, which will indeed change any time a VM is cloned. However, using YaST you can change the network adapter to bind by PCI bus ID, which will not change when the VM is cloned, although it might possibly change during VM virtual hardware upgrades, so keep that in mind.
It's not super easy to find in YaST, but it is documented:https://www.suse.com/documentation/sles ... ard_change
Scroll down to the section titled "Changing the Device Name and Udev Rules" and follow those instruction to switch from MAC address binding to Bus ID binding, and Surebackup should work fine.