Density conjecture for weak primary pseudoperfect numbers

Let $Q$ and $Q'$ be weak primary pseudoperfect numbers. Let $\mathfrak{N}_Q$ denote the set of positive integers associated with $Q$ in the paper, and let $\mathfrak{n}_Q$ be its least element when $\mathfrak{N}_Q$ is non-empty; write $\delta(\mathfrak{N}_Q)$ for its asymptotic density.

Density conjecture. If $\mathfrak{N}_Q$ and $\mathfrak{N}_{Q'}$ are non-empty and $\mathfrak{n}_Q<\mathfrak{n}_{Q'}$, then

$$\delta(\mathfrak{N}_Q)>\delta(\mathfrak{N}_{Q'}).$$

The prediction is motivated by the computed examples in the paper, but the source does not establish it. Its general validity remains open.