Chisini's conjecture on generic coverings of the projective plane

Let $B\subset\mathbb{P}^2_{\mathbb{C}}$ be a cuspidal branch curve, and let

$$f:S\longrightarrow\mathbb{P}^2_{\mathbb{C}},\qquad f':S'\longrightarrow\mathbb{P}^2_{\mathbb{C}}$$

be generic coverings of degree at least $5$, meaning that their branch curve has only nodes and cusps and the local monodromy at a smooth point of the branch curve is a transposition. Two such coverings are equivalent when they are equivalent as coverings of $\mathbb{P}^2_{\mathbb{C}}$.

Chisini's conjecture. Given two generic coverings $f:S\longrightarrow\mathbb{P}^2_{\mathbb{C}}$ and $f':S'\longrightarrow\mathbb{P}^2_{\mathbb{C}}$, both of degree at least $5$, with the same branch curve $B$, the coverings $f$ and $f'$ are equivalent.

The conjecture asks whether a generic covering of degree at least $5$ is determined by its branch curve. The supplied text gives no resolution or qualification of its status.