I have bought Unscented CP soap from BA and it does have a scent to it...Smells like soap.
The same goes for Unscented MP soap--the detergent-free MPs have less of a scent-almost odor free, than the Regular MP bases from WSP and Stephenson
I love that mold. I actually only fill it up 1/3 to 1/2 way to stay closer to 1 oz. and am planning on using the soaps for my parents 50th anniversary. That mold makes beautiful soap and your choice of color is beautiful.
odor-mute is unscented and works well- you will need to add the powder to warm water then clean and soak surfaces. Odo-BAN a concentrate works well also but has a very strong fragrance.