I don't understand left is left and right is right. I don't have those phones but if you wire negative to the tip and whatever to the sleeve and ring you will be out of phase. Yes it will play but recordings were meant to be heard as the recording microphone diaphragm pushes in the speaker pushes out. Out of phase is fine for a sub connected to a speaker but for a speaker or headphones just sounds messed up IMHO.
What I'm saying is if your cable is essentially an extension cable because you have the same connector on both ends, just make sure you solder the same wires to the same connectors. It doesn't matter which is L/R/G if you just make sure they're the same on both sides.