Its worth trying the new FBX import for DS. I often use the FBX when exporting to C4D. I've not tried the import before.

I'm not familiar with Blender's FBX export, so I exported a Genesis figure from DS in FBX format as a test file and reimported it. (with the  latest DS 4.5.1.6)

It comes in posed, textured, with morphs and rigged!

 

It loses the IK and comes in with FK only but that's not necessarily a bad thing.

The morphs it comes with are the ones I chose during export.

regards
prixat