There could be a difference. With JPEG, the camera applies the correction and it is permanently in the .jpg file. With RAW, the RAW conversion software applies the correction on the computer. I would assume Capture One and Photoshop CS2 and CS3 would apply the same correction if they have latest M8 profiles. The original Photoshop CS does not have an M8 profile (that I have ever found) so a generic .dng profile is used. I doubt the generic profile applies the coded lens correction.
The problem is that it is hard to know what each raw converster does. In the end they are each different, and no information seems to be available to the user.