Two counterexamples refute Gonzales' fixed-data classification, and a corrected version with rational-surface reduced spaces is proved and shown to preserve Cho's Fano classification.
Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I, Internat.\ J.\ Math.\ 30 (2019), no.\ 6, Paper No.\ 1950032, 71 pp
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On isomorphisms of semi-free Hamiltonian $S^1$-manifolds and fixed point data
Two counterexamples refute Gonzales' fixed-data classification, and a corrected version with rational-surface reduced spaces is proved and shown to preserve Cho's Fano classification.