It still just sounds like fancy obfuscation to me. I've read alot of examples trying to understand but I can't get past that being able to run processes on ciphertext in a way you can learn something doesn't make sense without me changing my definition of what I think encryption means.
I thought though the idea is that you cannot learn anything from the ciphertext, how it is processed, or what the final result is?
Unless you are a participant of the computation and you have the key, that is.