I can tell yuo from that ingredient list that coconut oil is the most expensive ingredient on there so cutting the amount of this would allow them to save money. Now here is a list of the properties coconut oil brings to soap

A few of Coconut Oil's qualities are as follows:

* this semi-hard, white oil produces soap that is hard, cleansing and has a beautiful full lather.

* it has excellent storage qualities (lasts a long time) and produces a quick trace.

* creates an oily, protective barrier on the skin.

* great for dry and itchy skin.

All sorts of stuff we look for in a good shaving soap. So lessening the amount of coconut oil in the mix would make it a poorer shaving soap.