Partial q-analogues of the Long–Tauraso–Zudilin supercongruences

Let $(a;q)_k=\prod_{j=0}^{k-1}(1-aq^j)$ be the $q$-shifted factorial, let $\Phi_n(q)$ be the $n$th cyclotomic polynomial, and let $n>1$ be odd and $r\geqslant 1$. Partial q-analogue conjecture. For each $d\in\{1,2\}$, modulo $\Phi_n(q)^2$,

$$\sum_{k=0}^{(n^{r+1}-1)/d}\frac{(q;q^2)_k^4}{(q^2;q^2)_k^4}q^{2k} \equiv \left(\sum_{k=0}^{(n-1)/d}\frac{(q;q^2)_k^4}{(q^2;q^2)_k^4}q^{2k}\right) \left(\sum_{k=0}^{(n^r-1)/d}\frac{(q^n;q^{2n})_k^4}{(q^{2n};q^{2n})_k^4}q^{2nk}\right).$$

These are proposed as partial $q$-analogues of the two classical supercongruences above; the source does not report a proof or disproof.