  We show that, in contrast to the integers setting, almost all even order
abelian groups $G$ have exponentially fewer maximal sum-free sets than
$2^{\mu(G)/2}$, where $\mu(G)$ denotes the size of a largest sum-free set in
$G$. This confirms a conjecture of Balogh, Liu, Sharifzadeh and Treglown.
