No, you should not use brake pads for carbon rims on alloy rims. Nor vice versa, so don't use brake pads for alloy rims on your carbon rims either.
The FFWD brake pads from SwissStop (Black Prince) are designed and intended for use on carbon rims. If you use these brake pads on alloy rims you will get small pieces of alloy in the brake pads compound which will cause damage if you use them again with your carbon rims.
Note!
Using brake pads on FFWD carbon rims that were previously used on alloy brake surfaces will void the warranty.