It works in theory, and the concept is basically the same, but we didn't have many Sally Phelan scenes with the old Cybermen, did we? We knew what the Cybermen were, but Cybermen stories didn't really dwell on it all that much.I agree to an extent, or rather I see where you're coming from, but Mondasian cybermen were "us" to an degree as well. They were originally humanoids, very similar to us, living on a planet that orbited the very same sun.
Whereas modern cybermen tap into our technology-obsessed culture, classic cybermen did exactly the same job for people of the 60s. The fears were different (transplant surgery, plastic surgery,etc), but the central idea is basically unchanged.