Positive lower-bound conjecture for conformal angle energy of non-trivial knots

Let $K$ be a knot, and let $|csl|(K)$ denote the absolute value of its conformal linking energy. Positive lower-bound conjecture. There is a positive constant $C$ such that, if $K$ is a non-trivial knot, then

$$|csl|(K)\ge C.$$

Such a bound would separate non-trivial knots from the standard planar circle, for which the corresponding energy is zero. The source gives no resolution of this claim.