General i.i.d. coefficient extension of the harmonic Kac asymptotic

Let the coefficients of the harmonic polynomial model be independent and identically distributed random variables with mean zero, positive variance, and finite moments. The i.i.d. coefficient extension conjecture. The conclusion of the paper's main asymptotic theorem for the Kac ensemble continues to hold for this broader coefficient distribution. The conjecture is presented as a possible generalization of the paper's theorem and is connected to lower bounds for constrained extremal valence; the supplied text gives no resolution.