Habiro's integrality conjecture for boundary bottom tangles

Set $v=\exp\frac{h}{2}$ and $q=v^2$, and let $J_T$ denote the universal $sl_2$ invariant of a bottom tangle. For an $n$-component bottom tangle, let $(\bar U_q^{ev})\;\tilde {}^{\;\tilde \otimes n}$ be Habiro's specified $\mathbb{Z}[q,q^{-1}]$-subalgebra of $(\tilde {\mathcal{U}}_q^{ev})^{\tilde \otimes n}$. A bottom tangle is boundary if it bounds mutually disjoint Seifert surfaces in $[0,1]^3$. Habiro's conjecture. If $T$ is an $n$-component boundary bottom tangle with $0$-framing, then

$$J_T\in (\bar U_q^{ev})\;\tilde {}^{\;\tilde \otimes n}.$$

This conjecture predicts a stronger integrality property for the universal $sl_2$ invariant of boundary bottom tangles. The supplied text does not state whether the conjecture is resolved.