Dasgupta–Spieß conjecture on the Brumer–Stark unit formula

Let $F$ be totally real, let $H/F$ be a finite abelian extension in which $\mathfrak{p}$ splits completely, and let $u_2$ denote the Brumer–Stark unit constructed from the second formula, while $u_{\mathfrak{p}}$ denotes the Brumer–Stark unit appearing in the conjectural valuation formula. Dasgupta–Spieß conjecture. One has

$$u_2=u_{\mathfrak{p}}.$$

The equality would remove the ambiguity between the constructed unit $u_2$ and the Brumer–Stark unit. The source gives no resolution status for this conjecture.