The packing–Mengerian equivalence for 2-partitionable clutters

Let $\cal C$ be a 2-partitionable clutter. It has the packing property when every minor has the König property, and it is Mengerian when the max-flow min-cut equality holds for every nonnegative integral demand vector. Packing–Mengerian conjecture. Then $\cal C$ has the packing property if and only if it is Mengerian. The source gives no resolution evidence for this equivalence; it concerns the relationship between minor-wise König packings and the integer max-flow min-cut property in 2-partitionable clutters.