Conjecture on elliptic Korselt numbers of Type I and anomalous primes

Let $M\geq 7$. Choose distinct primes $p,q$ uniformly at random subject to $5\leq p,q\leq M$, and set $N=pq$. Choose an elliptic curve $E(\mathbb{Z}/N\mathbb{Z})$ uniformly at random, with good reduction at $p$ and $q$, such that

$$\#E(\mathbb{Z}/p\mathbb{Z})=p+1-a_p\quad\text{and}\quad \#E(\mathbb{Z}/q\mathbb{Z})=q+1-a_q$$

both divide $N+1-a_N$. Elliptic Korselt–anomalous-prime conjecture. The probability that

$$\#E(\mathbb{Z}/N\mathbb{Z})=N+1-a_N$$

tends to $1$ as $M$ tends to infinity:

$$\lim_{M\rightarrow\infty}\operatorname{Pr}\left[\#E(\mathbb{Z}/N\mathbb{Z})=N+1-a_N\right]=1.$$

This conjecture concerns how often an elliptic Korselt number of Type I is the product of distinct anomalous primes; the supplied text presents it as a conjecture from the cited earlier work, without providing evidence of resolution.