Hand Crush

I remember in the movie superman 2, superman was aware that he needed go away from the cities and wait for the 3 super villains to come to his base because they were causing too much damage. He switched the crystal over that makes super heroes crippled like a human and tricked them into activating it and turning themselves into weak humans. 

I was wondering if he crushed general zod's hand because he was trying to crush his. He didn't know he had lost his super human state. He held superman's hand because he kneeled down before him to surprise him. 

I was wondering if general zod tried to crush superman's hand before super man crushed his.