Many people on the forum say cocoa butter hinders lather. I have only tried a high cocoa butter soap when also using castor oil (and/or jojoba) which I think really makes it shine! I get very frothy, dense, whipped cream texture lather when using the combo. Lots of ingredients are outrageously priced in grocery stores, but much more reasonable online. I don't remember if you mentioned where you live, if you post your location maybe others in your area can share their sources. Good luck!
P.s. you can also try a generic bar soap to compare yours to if you can't find a bar of cp. Then you'll have an idea of what people look for in terms of lather.
P.s. you can also try a generic bar soap to compare yours to if you can't find a bar of cp. Then you'll have an idea of what people look for in terms of lather.