Conjecture on the computed Wilf and enumeration classes of one-relator operads

For $n=8,9,10,11,12$, let $A(n)$ be the number of Wilf classes and let $E(n)$ be the number of enumeration classes of one-relator binary operads with a relation of degree $n$. The computations provide upper bounds for these numbers, as listed in the paper's table. Computed-class conjecture. The values of $A(n)$ and $E(n)$ for $n=8,9,10,11,12$ are equal to the corresponding upper bounds listed in the table. The conjecture would establish the preceding Wilf-class conjecture for all $n\leq 12$; the claimed values are supported by stabilization of truncated generating functions, but are not proved in the source.