Avocado oil is famous in the soaping community that it has something good to give to a recipe.
I have made a while ago a test where I used a few soft oils as a major oil (40%) in every recipe to see what they would bring to the party. Those soft oils were all in the oleic fatty acids family and the results were interesting. The oils were Olive oil, Sweet Almond Oil, Sunflower HO, Canola and Avocado.
Every soap had a slightly different behavior while cleaning my hands but avocado (Refined Oil) slightly did something more to my perception while cleaning. Having given all the soaps to a woman also, she was amazed with how the avocado made her feel (yes, women must have double the amount of neurons in their bodies compared to men). So I got curious and read the CoA document for avocando. I for the first time learned about a new fatty acid that isn't very popular in soapmaking and that is palmitoleic fatty acid.
I then found out that macadamia has double the amount of this unusual FA in its profile so I made a 40% macadamia recipe and guess what. I also felt a bit more of this different feeling while cleaning my hands and I guess the sodium palmitoleate gives something really new and nice to the soaping party.
So to conclude I also agree that the fatty acid profile of the entire recipe plays the major role in how the soap will behave under the water along with the way it will interfere our perception. Then it is for the additives that slightly change the overall characteristics of the suds. And use avocado as much as possible (eg. replace all Olive oil with Avocado) in order to gain its effect to the max. I would advice you to make a small "Avocadille" (Bastille) kind of soap (80% Avocado. 15% CO, 5% Castor with around 38-40% lye concentration) and you will not regret it.
You can read more about my experiment here:
http://www.soapmakingforum.com/showthread.php?t=56642