Cornell is not the last word in soil fertility, for soils away from their area of knowledge.

I doone understand a soil with a high CEC value,  not believe they have looked at let al(>30 meq/100g) nor for a calcareous soil type, with a high pH and loads of free lime.

They are not alone as not many universities do. I know our TX A&M U does NOT. Here we see a positive crop response with soils that have results in the High, & Very High ranges, and some ragarded excessivly high. So much depends on the chemistry used to estimate the avaliable elements. That is what a soil test is, an estimation of the levels of availble fertility elements. Few of us pay for really accurate soil analysis such as those required by the EPA. The testing we pay for can have a 30% deviation spread from average, and there is nothing to say the average is close.

The most important ingredient is a farmer who knows and understands their own soils. Everything else is a WAG or at best a SWAG.