Everest–Miller–Stephens primality conjecture for elliptic divisibility sequences

Let $D=(D_n)_{n\in\mathbb{N}}$ be an elliptic divisibility sequence. Primality conjecture. The sequence $D$ contains only finitely many prime terms. Everest, Miller, and Stephens proved this conjecture for magnified elliptic divisibility sequences; the general statement remains presented here as a conjecture. The contrast with the Fibonacci sequence, for which primes are conjectured to occur infinitely often, motivates the question.