Not sure I have a feeling that they are different... I think the CG is a one off meaning that neither the CE or the CH fit... it is a bit like the CH non mivec and the CH mivec they use different indicator and wiper switches - outwardly they look the same but will not transfer over to the other... might have something to do with the Cruise Control.
If the steering wheel is in good nik and cheap enough buy it and give it a shot