Irreducibility conjecture for binodal and cuspidal plane-section curves

Let $S\subset\mathbf{P}^3$ be a general surface of degree $d\geq 4$. Let $V_2(S,\mathcal{O}_S(1))$ be the curve of binodal plane sections of $S$, and let $V_\kappa(S,\mathcal{O}_S(1))$ be the curve of cuspidal plane sections of $S$. Binodal-and-cuspidal irreducibility conjecture. Both curves are irreducible. This is proposed as a generalization of the paper's theorem for quartic surfaces; no proof for all degrees $d\geq 4$ is supplied.