To be fair, this is the first "real" Zod post-Crisis.
Because DC went about making it so Superman was the sole survivor of Krypton, they did stuff like the Matrix-Supergirl and whatnot.
The first Post-Crisis Zod came from a Pocket Universe. The second Zod came fron an alternate reality created by Brainiac 13. The third Zod was a Russian who was affected prior to his birth by Kryptonite radiation because he was the son of two cosmonauts whose ship was too close to Kal-El's rocketship. The fourth Zod came from an alternate Phantom Zone.