Vertical-strip LLT polynomial identity

Let $\mathbf{a}$ be an area sequence and $\mathbf{s}$ a set of strict edges, and let $\mathrm{G}_{\mathbf{a},\mathbf{s}}(\mathbf{x};q)$ be the corresponding vertical-strip LLT polynomial. Let $\hat{\mathrm{G}}_{\mathbf{a},\mathbf{s}}(\mathbf{x};q)$ be the symmetric function defined by the orientation formula in the source. Main conjecture. For every vertical-strip LLT polynomial,

$$\mathrm{G}_{\mathbf{a},\mathbf{s}}(\mathbf{x};q)=\hat{\mathrm{G}}_{\mathbf{a},\mathbf{s}}(\mathbf{x};q).$$

This extends the proposed orientation formula from unicellular to vertical-strip LLT polynomials; the source provides no resolution status.