For the most part, my skin doesn't like high coconut oil soap. HOWEVER, there have been a couple of soaps with higher than I normally like CO, and in combination with certain other ingredients that do seem to diminish or remove the stripping effect that CO plays on my skin. I only learned this accidentally by making soap with different ingredients, though, and of course testing them out and using them over time.
What helps (for me personally)? Egg soap. A high CO content in a soap with egg yolks does not bother my skin. I learned this accidentally.
Subbing regular CO with Fractionated CO, different fatty acid profile, so it makes perfect sense, but I didn't think of that at the time. I had a whole lot of Fx CO and no planned use for it, so decided to toss that into the mix with a couple of recipes just so I could use up the jug and get rid of it. (Used a
lye calculator of course.) Turned out to be pretty nice soap and not stripping to my skin. But FX CO is rather expensive, so I've not bought any just for use in bar soap; I was just using it up.
A longer cure. This doesn't always help with high CO content soaps, but it has for some. I believe it's more about a well-balanced recipe and what works with my skin. But a longer cure time, almost always improves any soap I make. Occasionally I have had some recipes (from early days) that even a 2 & 3 year cure did not help, and I won't be making those again.
In the beginning I almost always used Cocoa Butter and/or Shea Butter in my soap; no animal fats; no palm. So using CO was sort of a must in the beginning for me. I did eventually use some PKO flakes, but even that can be stripping, so it has to be used in moderation. Babassu is another one that can be stripping like CO, but so far I only use it in my deodorant.
Another good article that addresses a well-balanced recipe and includes some information pertinent to this discussion:
https://www.modernsoapmaking.com/the-most-popular-fatty-acid-profiles-in-soapmaking/