Violet-prime embedding activities conjecture for the hypergraph Tutte polynomial

Let $\mathcal H$ be a hypergraph and let $h$ be a hypertree. Define the order $<^{\mathrm{violet'}}_h$ from the tour of a violet Jaeger tree, and use this order to define embedding activities. Violet-prime embedding activities conjecture. Embedding activities defined via $<^{\mathrm{violet'}}_h$ produce the polynomial $\mathcal{T}_{\mathcal H}$ for hypergraphs. The conjecture proposes that this alternative violet ordering gives the hypergraph Tutte polynomial, whereas the unprimed violet ordering is known from the surrounding discussion to fail in some examples; the supplied text does not state a resolution.