Valuative invariance conjecture for Monge–Ampère masses

Let $D\subset\mathbf{C}^n$ be a domain, and let $\varphi$ and $\psi$ be plurisubharmonic functions with isolated singularities at $0\in D$. They are valuatively equivalent if they have the same value under every divisorial valuation on the domain.

Valuative invariance conjecture. If $\varphi$ and $\psi$ are valuatively equivalent, then their $n$-th Lelong numbers at $0$ are equal:

$$L_n(\varphi,0)=L_n(\psi,0).$$

This statement follows immediately from Demailly's strong continuity conjecture and expresses the expected dependence of the top Monge–Ampère mass only on valuative singularity data. In the supplied context it is posed as a question, and no resolution is given.