Canonical McDuff decomposition conjecture for existentially closed factors

Let $\mathcal E$ denote the class of existentially closed II$_1$ factors. A McDuff factor $P$ admits only the canonical McDuff decomposition if, for every tensor decomposition

$$P\cong Q\overline\otimes R,$$

where $R$ is the hyperfinite II$_1$ factor, one has $Q\cong P$. Canonical McDuff decomposition conjecture. Every factor $P\in\mathcal E$ admits only the canonical McDuff tensor decomposition. Such decompositions are known for several classes of McDuff factors, but the source proposes the property for existentially closed factors as an open conjecture.