The associative deformation conjecture for the operator product expansion

Let the operator product expansion (OPE) algebra be the algebra of products of observables, and let $hbar$ be the quantization parameter. Consider the variation of the OPE with respect to $hbar$.

Associative deformation conjecture. The $hbar$-derivative of the operator product expansion defines an associative deformation of the OPE algebra.

This claim concerns compatibility between variation in the quantization parameter and associativity of observable products. The supplied text gives no evidence of a resolution.