Countability and countable-sum continuity for finite-dimensional commutative groupoid algebras

Let $H$ be a finite groupoid, let $A$ be a finite-dimensional commutative $H$-algebra, and let $B$ be an object of $KK^H$. The group $KK^H(A,B)$ is countable, and the functor $KK^H(A,-)$ commutes with countable direct sums in the variable $B$.

Countability and continuity conjecture. For every finite groupoid $H$ and finite-dimensional commutative $H$-algebra $A$, $KK^H(A,B)$ is countable for all $B\in KK^H$ and commutes with countable direct sums in the variable $B$.

This property concerns the size and continuity of equivariant Kasparov groups for finite groupoids. The supplied text does not state whether the assertion is known or resolved.