Rational cuspidal divisor class conjecture for modular curves

Let $N$ be a positive integer. Let $X_0(N)$ be the modular curve of level $N$, let $J_0(N)$ be its Jacobian, and let $C_N(\mathbb{Q})$ be its rational cuspidal subgroup. Let $C(N)$ be the subgroup formed by equivalence classes of $\mathbb{Q}$-rational divisors in $C_N(\mathbb{Q})$, equivalently the divisor classes fixed by the absolute Galois group of $\mathbb{Q}$. Rational cuspidal groups conjecture. For every positive integer $N$,

$$C_N(\mathbb{Q})=C(N).$$

The claim compares rational cuspidal points with classes represented by rational cuspidal divisors. The supplied source gives no resolution status for this further conjecture.