Ok, let me see if I can complicate this further...
Rim clean is only a good visual to verify inflation if, and only if, you understand the tire construction, compound hardness, soil makeup (% of clay, silt and sand) compaction levels and moisture content of said soil. Rim clean is in a nut shell, is showing how much the sidewall is flexing. As you can imagine, all of the above factor into this equation + the infinite variables on rider ability and ever changing track conditions.
I spent 3 month, one afternoon, doing tire testing back in the day trying to simplify this process. Higher clay content (most of Ohio and the Midwest for that matter) most people will get better "feel" from a soft compound tire. Soft compounds allow the knobs to flex, grabbing the soil more then ripping through it. Problem is, not all tire companies use the same compound on the sidewall as they do the tread area (again, matter of fact, few do). We will assume they do...
So, soft compounds will flex more, allowing for more shoulder roll, resulting in more rim clean. Reducing the inflation for this tire will not necessarily equal more or less grip but will dramatically effect rim clean. Once you have all those factors determined, then you can determine inflation. Until they go out and disk and water...then, start all over again.
Or, just set it at 13 and forget it.
One other thing. I completely disagree with the lower inflation in sand and mud. I ALWAYS went higher. As much as 20 or 22. In those conditions you do not want the tire flexing. You are trying to dig through and not grip. It would be like trying to shovel snow with a handle made of Jell-O.
Just my 2 cents