Maybe, but are you saying that you could perform an operation like "if string startswith("www") then ..." without decryption? That sounds enormously complicated

Maybe, but are you saying that you could perform an operation like "if string startswith("www") then ..." without decryption? That sounds enormously complicated. And even so, it would be leaky, because you could follow the execution path and deduce things about the data. So in summary it sounds implausible, but I may be wrong.