Conjecture on free and torsion decompositions of Kauffman bracket skein modules

Let $M$ be a closed, oriented $3$-manifold, and let $\mathscr S(M)$ denote its Kauffman bracket skein module over $\mathbb Z[A^{\pm1}]$. A module decomposition into free modules and torsion modules means a direct-sum decomposition of that form. Free–torsion decomposition conjecture.

1. The Kauffman bracket skein module of any closed, prime, oriented $3$-manifold over $\mathbb Z[A^{\pm1}]$ can be decomposed into the direct sum of free modules and torsion modules.
2. The Kauffman bracket skein module of any non-prime, oriented $3$-manifold over $\mathbb Z[A^{\pm1}]$ cannot be decomposed into the direct sum of free modules and torsion modules.

The supplied text attributes this two-part claim to prior work and gives no evidence resolving either assertion, so both remain open here.