Equality of connective constants for knot and knotoid shadows

Let $sk_n$ be the number of $n$-crossing knotoid shadows, let $\mu_I$ be the connective constant for knot shadows, and let $\mu_K$ be the connective constant for knotoid shadows. Equality of connective constants. The connective constants for knot shadows and knotoid shadows are the same. That is,

$$\lim_{n\to\infty}sk_n^{1/n}=\mu_I=\mu_K.$$

This conjecture concerns the exponential growth rates of knot and knotoid shadows; the paper presents numerical data related to it.