Strong sequenceability conjecture for abelian groups

Let $G$ be an abelian group. For a subset $S\subseteq G\setminus\{0\}$, a sequencing is an ordering whose partial sums are distinct, while a rotational sequencing permits the initial and final partial sums both to be $0$. The group $G$ is strongly sequenceable if every subset $S\subseteq G\setminus\{0\}$ is sequenceable. Strong sequenceability conjecture. Every abelian group is strongly sequenceable. This is the paper's main conjecture and amalgamates several earlier questions and conjectures; its status is not resolved in the supplied text.