CMPP conjecture on distinct partial sums for zero-sum subsets

Let $G$ be an abelian group, and let $A$ be a finite subset of $G\setminus\{0_G\}$. Assume that no $2$-subset of the form $\{x,-x\}$ is contained in $A$, and that

$$\sum_{a\in A}a=0_G.$$

CMPP conjecture. There exists an ordering of the elements of $A$ such that all partial sums are distinct.

The conjecture concerns zero-sum subsets avoiding opposite pairs and is related to sequenceability questions in abelian groups. The source attributes it to the authors and collaborators, but the supplied passage gives no resolution of the general statement.