The independence-of-realizations conjecture for log motives

Let $R$ be a family of realizations used to define the categories $\mathrm{LM}_R(S)$ of log motives and $\mathrm{LMM}_R(S)$ of log mixed motives, and let $R'\subseteq R$ be non-empty. The restriction functors forget the realizations indexed by $R\setminus R'$.

Independence-of-realizations conjecture. Restriction of realizations induces equivalences of categories

$$\mathrm{LM}_R(S)\overset{\simeq}{\longrightarrow}\mathrm{LM}_{R'}(S),\qquad \mathrm{LMM}_R(S)\overset{\simeq}{\longrightarrow}\mathrm{LMM}_{R'}(S).$$

This predicts that the categories are independent of the chosen non-empty family of realizations. The source provides no resolution status.