Reversibility conjecture for chordal SLE$(\kappa;\rho_+,\rho_-)$ traces

Let $\beta_0(t)$, $0\le t<\infty$, be a chordal SLE$(\kappa;\rho_+,\rho_-)$ trace started from $(0;0^+,0^-)$, where $\kappa\in(0,4)$ and $\rho_+,\rho_-\ge(\kappa-4)/2$. Define

$$W_0(z)=\frac{1}{\overline{z}}.$$

Reversibility conjecture. After a time-change, $(W_0(\beta_0(1/t)))$, $0<t<\infty$, has the same distribution as $(\beta_0(t))$, $0<t<\infty$.

This conjecture concerns reversibility under inversion and time reversal for chordal SLE traces with force points on both sides of the starting point. The supplied context identifies it as a conjecture proposed in earlier work; no resolution is stated here.