Syzygy conjecture for general projections of paracanonical curves

Assume that $C$ is a generic paracanonical curve of genus $g\geq 11$, embedded by the paracanonical bundle $\omega_C\otimes\eta$, where $\eta$ is a generic non-trivial torsion line bundle. Let $p\in H^0(\omega_C\otimes\eta)^\vee$ be a generic point, and let $C'$ be the projection of $C$ away from $p$. Then the paracanonical projection conjecture. The Betti diagram of $C'$ satisfies $\widetilde{N}_{\operatorname{Cliff}(C)-4}$, and the length of its linear strands is $\operatorname{Cliff}(C)-3$. This predicts the syzygies of general projections of paracanonical curves in genus at least $11$; the statement is presented as a conjecture and no resolution is given in the source.