K-theoretic deformation conjecture for extended affine Hecke algebras

Let $\mathcal R$ be a root datum with affine Weyl group $W^e$, let $\Gamma$ be the finite group acting in the extended affine Hecke algebra, and let $q$ be a positive parameter function. Write $C^*(W^e)\rtimes\Gamma$ for the group $C^*$-algebra crossed product and $C^*(\mathcal R,q)\rtimes\Gamma$ for the corresponding affine-Hecke $C^*$-completion crossed product. K-theoretic deformation conjecture. The abelian groups

$$K_*(C^*(W^e)\rtimes\Gamma)\quad\text{and}\quad K_*(C^*(\mathcal R,q)\rtimes\Gamma)$$

are naturally isomorphic. This is presented as the expected consequence of homotopy invariance of $K$-theory under deformation of the parameter function; the source does not provide a separate resolution status for this formulation.