An ideal process that is in control would have only "uncorrelated, unassignable, common causes".
I guess now we have to define what is an ideal process. I prefer:
A process in control is in the
ideal state 100% conforming and predictable:
-must remain stable over time
-must operate in a stable and consistent manner
-must be set at the proper level
-the natural process spread must not exceed the product’s specified tolerance
I would be perfectly satisfied that a "correlated common assignable cause" process, such as grinding, would also meet those requirements,
if controlled correctly.
Requiring an idea process to be "uncorrelated, unassignable, common causes" sure sounds sort of normalcentric to me.