Execute this on your source system.
grep MODULES /etc/initramfs-tools/initramfs.conf
If it says MODULES=most then you're in luck as it means your initrd
contains all kernel modules for all kinds of hardware.
And restoring from backup into QEMU-KVM means you only need to
reconfigure the bootloader.
Is there a way to configure KVM so that it resembles my bare
metal, and the test is significant?
That's highly unlikely. On x86-64 there are two QEMU device models
worthy of speaking, and that's Intel i440FX and Intel Q35 motherboards.
Chances are you have different hardware.
So, it *will* have different NIC, Video adapter *and* most importantly,
IDE/SATA/SCSI controller.
Using Debian and MODULES=most you have a luxury of not to think about
it.