The spectral-network determination conjecture for WKB exponents

Let $\phi$ be a spectral differential with no BPS states, and consider the WKB exponents determined by the paper's harmonic-map and pre-building process. Let the spectral network procedure mean the procedure of Gaiotto, Moore and Neitzke for constructing WKB exponents from the same spectral data.

WKB spectral-network determination conjecture. The WKB exponents determined by the process coincide with the exponents constructed by the spectral network procedure of Gaiotto, Moore and Neitzke.

This conjecture connects the building and harmonic-map construction with the spectral-network and WKB descriptions. The source gives no resolution of the claim.