Yeah there isn't a way to remap it without a LOT of manual work and even then I found it far more efficient to simply re-rig using Mixamo Rig.
The advanced biped rig really shouldn't ever be used as far as I can tell.
You would have to know you never want to use the rig outside of C4D and not with any Face/body mocap, remapping, Cascadur, etc

Right, yeah I understand there are other rigs that auto import, but if you have a rig that needs the fine controls of the advanced biped rig but you want to drive it with mocap that should work right? I feel like I am just missing the correct bones to ad the the character definition.

I cannot for the life of me map an advanced Biped to be driven by a character solver.
I have manually added all bones (yes including IK+FK+BLND) and nothing works, I got a bit of movement by adding some and not others but I could not figure out what made those bones work.
All I can figure is I need SOME of the bones like IK and FK but not all the bones?

Anyone have some experience here? Not being able to use Mocap for a starting point on advanced riggs is nuts to me.

I feel like C4D should just have an advance biped preset.
If I can get this to work by some miracle I will upload it the preset to gumroad.