Strong rational connectedness conjecture for smooth loci of log Del Pezzo surfaces

Work over an algebraically closed field of characteristic zero. A log Del Pezzo surface is a pair $(X,\Delta)$ consisting of a normal projective surface $X$ and an effective $\mathbb Q$-divisor $\Delta=\sum a_i\Delta_i$, with $0<a_i\leq 1$, having log terminal singularities, such that $-(K_X+\Delta)$ is ample. The smooth locus is $X^{sm}$.

Strong rational connectedness conjecture. The smooth locus $X^{sm}$ of a log Del Pezzo surface $(X,\Delta)$ is strongly rationally connected.

This would extend the known rational connectedness of the smooth locus and would allow weak approximation to be proved for many log Del Pezzo surfaces. The conjecture is presented as unresolved in the source.