Clearing up some misconceptions
Coconut butter, avocado, almond butter and peanut butter are not actually butters, in terms of the nomenclature we are discussing. In these products, the flesh of the nut or fruit is pressed and included with the oil, which provides the food source with proteins and water, as well as fatty acids. This is not a butter in the technical sense THEN WHAT IS IT? WHAT IS THE DEFINITION OF BUTTER?, but this is a common usage in food products. Another point to keep in mind is that in some cases, the unsaturated fatty acids in the oils of these fruits and nuts are hydrogenated to create a more solid texture. This can change the properties of the product significantly.
Another bit of confusion on this topic of oils, butters, and waxes is due to misleading terminology in the nomenclature system. It is not uncommon to read assertions that emulsifying is waxy or oily and prone to build-up. In fact, emulsifying wax is not a wax at all, nor is it an oil. It is a group of ingredients (derived from fatty acids ) used as a nonionic surfactant mixture that is highly effective at facilitating mixing of oils and waxes into aqueous solutions. Specifically, it is most often these ingredients: Cetearyl Alcohol, Polysorbate 60, PEG-150 Stearate & Steareth-20. All of those components are water soluble, with the exception of the fatty alcohol. It is possible that people who dislike products containing this ingredient are actually sensitive to the oil or butter being emulsified by emulsifying wax, or they are sensitive to buildup of fatty alcohols (cetearyl alcohol) on their hair.