Questions about Twister

Will twister still work by rear naked choking someone instead of pulling their head?
I sparred with a guy and managed to get him into twister back control but I didn't actually pulled off twister since its not allowed in our gym but instead I pulled off rear naked choke instead. Eventually, my opponent tapped out but I'm not sure whether I got him by rear naked choke or twister like rear naked choke from twister back control.
I want to hear opinions from you guys out there.