Quadratic bound conjecture for the pair-matching decomposition number

Let $H=(V,E)$ be a $3$-uniform hypergraph with $n$ vertices. Quadratic bound conjecture. Its pair-matching decomposition number satisfies

$$\operatorname{pmd}(H)\leq \frac{3}{2}n^2-\frac{15}{2}n+10.$$

This bound would follow from the preceding positive-matching conjecture and would give bounds for the irreducibility of coordinate sections of symmetric tensor varieties. The source states it as an unproved conjecture.