Considering some of the amounts being used...yes. The 'holy trinity' of soap making is 3 ingredients: Olive, Coconut and Palm Oils.
With the exception of Castor Oil at 5%, anything else under 10% does nothing for you soap...except to increase your costs and consumer price tag.
I know some folks have objections to using Palm Oil, even if it is RSPO Certified (those poor monkeys) or using Lard/Tallow (OMG Becky...gross!). I use Palm Oil (RSPO) because to not use it means that the same thing will happen to other oils if we eliminate it and by supporting RSPO, it shows that it can be done. Also, the vast majority of commercial soaps contain Sodium Tallowate. Hello...it's still tallow.
If you want, you are more than welcomed to give my recipe a try: Olive Oil (35%), Coconut and Palm Oils (20%), Cocoa and Shea Butters (10%) and Castor Oil (5%). I am using a 33% Lye Concentration, 5% SuperFat. I heat my Hard Oils/Butters on the stove at a medium heat until about halfway melted, then turn off the stove. While waiting I for the residual heat to finish melting the Cocoa Butter, I use frozen distilled water to mix up my lye solution...cuts out the fumes and lowers the temperature. I then weigh out my Soft Oils, add the melted Hard Oil, give it a good whisk or stick blend, then add in my lye solution. I only blend in short bursts and stirs to emulsion if I'm splitting my batter for any reason, elsewise for a single color soap, I continue to a medium trace to make moving the mold later easier.
A few weeks ago I made a 14lb batch and then did some major splitting. I poured out 2 lbs into two containers, added FO, then split each into three containers for colored layers and hanger swirl. Then I poured out 4 lbs into two containers (3 1/2 lbs in one, half pound in the other); added FO, cocoa and mica to the larger bowl, poured, and added a cocoa layer. Then added TD to the second and blended to thick trace and plopped on and dusted with cocoa. Then the last 8 lbs went into two containers (4 lbs each) , scented and divided the batter yet again...adding TD to the larger portion and colorant to the smaller and then doing a drop and chopstick swirl. It was only by this point that my batter started to thicken up to a medium trace.
It was about 75F in the kitchen and I started my batter out at around 120F.