My reply disappeared when I submitted it! Grr. LOL
I stir mine, but not constant. I will fold the sides in, then leave it for about 10min the check again. This seems to work fine for MOST of mine, most of my recipes are well-behaved, and I use full water and keep the lid on until it's almost done. I have overstirred before and gotten the 'fluffy' texture too.
I forgot I was doing a milk & honey soap last night when hubby was assisting, and I set my timer and went to sit for 10min, and hubby yells that it's escaping! Yikes! Got it stirred down, and I always have parchment under the pot to catch drips from the utensils, so we just scraped the soap from the outside of the pot onto it, and picked it up and dumped it back in. Whew! Hubby says, well that was exciting! (Mental note- always keep parchment under the crockpot)
I use full water, SF at 1% and then add 6-8% after the cook, usually a combo of shea or avocado with jojoba. I add the sodium lactate after my SF and scents are mixed in, right before I pour.
Something to remember when doing a SF after the cook is some oils have totally different SAP values. If you're wanting to be more exact on it, there's a formula or there's a simpler way that's less exact.