@ Peer
I suppose all your files are from the initial 3DM and exported from Moi ?
Something strange!
I draw something in InkScape then export SVG ---> White Rabbit ...that works ! :)
I load your SVG file in InkScape (all is fine i see it) then export SVG ---> White Rabbit that don't work! :(

So I must investigate more! Be patient! :)

What is exactly the target wanted ?
Each face separated with a color for example, only closed curves of a file, both ? Other ?