Conjecture that radically weak Carmichael numbers outnumber Carmichael numbers

Let $K(x)$ be the number of integers up to $x$ satisfying the paper's radically weakened Carmichael condition, and let $C(x)$ be the number of Carmichael numbers up to $x$. Growth-ratio conjecture.

$$\lim_{x\to\infty}\frac{K(x)}{C(x)}=\infty.$$

The conjecture asserts that the radically weakened condition produces asymptotically more integers than the Carmichael condition. The source gives no evidence of a resolution.