I froze the puree for avocado soap. I only just made it so I don't know how it feels used yet! I mashed them with a gloved hand and then mashed them through a strainer. With fresh avocados that were completely bright green, I found a small amount of tiny pinkish fibers in the strainer after the first straining, and nothing after the second. With some overripe avocados that had grey spots here and there, I found a good amount of fibers including some longer dark colored ones after straining twice, but on the third straining found nothing. So I will continue to use the strainer before soaping with avocado puree. The avocado is so soft, even just ripe not overripe, that its easy to mash with your hand and through the strainer. I didn't need a blender or anything stronger for it.
I added a teeny amount of water to thin out the avocado puree and then used the frozen cubes for complete water substitute to mix my lye in.