Positive radius conjecture for the long-knot Poincaré series

Let $R$ denote the radius of convergence of the Poincaré series of the space of long knots modulo immersions. Positive-radius conjecture. The radius of convergence is positive; that is,

$$R>0.$$

The source introduces this as a conjecture and immediately says that the following theorem ends the section, but the supplied text does not state whether that theorem proves this conjecture.