Not moisturizing- good idea or terrible?

I have struggled with acne for years. Probably coming up on 10 years now. At first, it was my forehead and inner cheeks by my nose. Then it moved to my outer cheeks, and now has moved to my lower cheeks and chin/mouth area. I’m starting to get the “crater face” as people call it down near my mouth and lower cheeks. Its so embarrassing. I have used literally dozens of products over the years and nothing works. I am currently using African black soap bar as a cleanser bc it’s gentle. And then thayers witch hazel toner and Walmart brand moisturizer. The toner and moisturizer don’t do anything, and if anything I feel like it makes my acne worse. Would it be a terrible idea to just use the bar soap and nothing else afterwards? I have sensitive skin so I’m afraid it’ll dry me out, but I’m open to trying anything by now 😭