Schlosser and Zhou's sign-pattern conjecture for powers of $Q_{10}(q)$

Let

$$Q_{10}(q)=\frac{(q,q^{9};q^{10})_{\infty}}{(q^{3},q^{7};q^{10})_{\infty}}.$$

The sign patterns are coefficient patterns in the displayed order. Schlosser and Zhou's conjecture. For $\delta=1$, the coefficients of $Q_{10}(q)^{\delta}$ exhibit $+-++--+--+$; for $\delta=-1$, they exhibit $++++-----+$. This is a further conjectured sign pattern for a power of a residue-class infinite product, and the source gives no resolution.