Isaksen–Wang–Xu's average stable homotopy growth conjecture

Let $\ell_2^{S}(i)$ denote the size function for the stable $2$-local homotopy groups of spheres. Isaksen–Wang–Xu's conjecture. There exists a nonzero constant $C$ such that

$$\lim_{q \to \infty} \frac{\sum_{i=1}^q \ell_2^{S}(i)}{q^2}=C.$$

This is presented as an alternative to the Burklund–Senger prediction for the pointwise growth of stable homotopy groups. The source does not state a resolution of this conjecture.