Is the Bridge changing the initial mesh during the CD4 creation
I have a new computer and had with a new install of DAZ3D and the latest Bridge and have a problem I didn't have before using the same version of Cinema 4D V21.
When the Bridge creates a new Cinema 4D file, the Genesis 8 Female is created with no errors and the JCM morphs work. The new problem I'm having is if I export a FBX from the exact same file in DAZ3D that the Bridge used except with a face or body morph and add it to the Cinema4D morph tag, the entire Genesis 8 Female mesh has other deformations such as the teeth, ears, etc.
Even if I export the Genesis 8 Female with no morphs applied at all, within Cinema 4D the same Genesis 8 Female mesh deformations occur.
If I do the same thing manually not using the Bridge (meaning I don't get the benefit of Bridge JCM creation tools) I do not get the Genesis 8 Female mesh deformations. This implies the Bridge is some how making small mesh changes during exporting process it didn't do before.

Comments
Old question but anyway.
The meshes should match as far as I know, but you have to make sure any baked morphs used are included in both cases (and any other settings that may effect mesh match), if you select to not exporting morphs, that may not be the correct way to do it.