Boundary Forelli conjecture for bundles of complex lines

Let $B^n\subset\mathbb C^n$ be the unit ball, and let $a_1,\ldots,a_{n+1}\in B^n$ be vertices in general position. An $n+1$-bundle of complex lines consists of the complex lines containing at least one of these vertices. Let $f\in C(\partial B^n)$ be a continuous function on the unit sphere. For each such complex line $L$, consider the restriction of $f$ to $L\cap\partial B^n$. Boundary Forelli conjecture. Any $n+1$ bundles of complex lines with vertices $a_1,\ldots,a_{n+1}$ in general position test boundary values of holomorphic functions in $B^n$: if $f$ holomorphically extends in every disc determined by these lines, then $f$ is the boundary value of a holomorphic function in $B^n$. The conjecture identifies vertices lying in a hyperplane as the only obstruction to the continuous boundary version of the Forelli theorem; the supplied source does not indicate whether the conjecture has been resolved.