Positive-discriminant class group $p$-torsion average conjecture

Let $p$ be a prime number such that $p \neq 3$. The quantity $\mu_p(\mathcal{F}^{+}(Y))$ denotes the average size of the $p$-torsion subgroup in the class groups of the positive-discriminant monogenized cubic fields under consideration, up to the parameter $Y$. Positive-discriminant $p$-torsion conjecture.

$$\lim_{Y \rightarrow \infty}\mu_p(\mathcal{F}^{+}(Y)) = 1+\dfrac{1}{p(p-1)}$$

This conjecture predicts the asymptotic average size suggested by the Eureqa computations; the exclusion of $p=3$ is motivated by theoretical results, while the assertion for the other primes remains open.