Re: No real hard numbers to back it up...
"KVM and Xen are part of the Linux kernel,"
So part of a full OS install then. Hyper-V also runs in kernel mode if you choose to run it under Windows. Where by the way it significantly outperforms KVM.
"Hyper-V is just a service that runs on top of an OS."
That would be just like a Linux type bloated Hypervisor on top of the OS option then.
The difference is that with Hyper-V you can also choose to run Hyper-V SERVER which is a true standalone hypervisor version that does not require an underlying OS. It's also completely free with all features enabled.