Non-bounding Milnor manifolds are not bordant to Dold manifolds

Let $H(m,n)$ denote a Milnor manifold and $P(r,s)$ a Dold manifold. The Milnor manifold $H(m,n)$ is non-bounding if it does not bound, and it is among those not considered in Propositions 1–5 of the source. Non-bounding Milnor manifold conjecture. The non-bounding Milnor manifolds not considered in Propositions 1–5 are not bordant to Dold manifolds. This conjecture concerns the remaining cases after the paper's preceding propositions; the authors state that it is suggested by known bounding criteria and computer calculations, but provide no proof or resolution.