Update. Apparently, I found someone at SkyMiles who either could read or understand their own rules. The flight has been credited to my account.

Still, I suspect this will continue to be a problem for persons flying on CZ seeking DL credit (I specifically purchased the Z Fare at a higher cost since almost all other fare classes do not earn MQMs or miles).

I really hope someone from DL reads this thread and gets the CS agents better trained on CZ fare structure and DL earning rules.