Existence of Sacks-indestructible MAD families below ${\aleph}_{\omega}$

Let $\mathfrak{s}$ be the splitting number and $\mathfrak{b}$ the bounding number. A Sacks-indestructible MAD family is a maximal almost disjoint family that remains maximal after forcing with Sacks forcing.

Sacks-indestructibility conjecture. If

$$\mathfrak{s}\leq\mathfrak{b}<\aleph_{\omega},$$

then there is a Sacks-indestructible MAD family.

This conjecture links the cardinal-invariant inequality $\mathfrak{s}\leq\mathfrak{b}$ below $\aleph_{\omega}$ with preservation of maximal almost disjointness under Sacks forcing. The paper states the existence claim but does not provide a proof or resolution.