Asymptotic frequency conjecture for non-split prime-power conductors

Let $K=\mathbb{Q}(\sqrt{d})$ be a quadratic field with $d\equiv 2\pmod 3$ and $3$-class rank $\varrho=0$. Consider $3$-admissible non-split prime or prime-power conductors $f=q$, $f=3$, and $f=9$. Prime-power conductor frequency conjecture. The relative frequency of nilets decreases from $73\%$ through $72\%$ and $71\%$ to $69\%$, while the relative frequency of singlets increases from $27\%$ through $28\%$ and $29\%$ to $31\%$; all singlets have permanent type $\varepsilon$, and the final percentages for $0<d_L<10^7$ should be close to their asymptotic limits. The claim is an experimental asymptotic prediction based on the computed ranges.