The general Next-to-Minimal Supersymmetric Standard Model (NMSSM) describes the singlino-dominated dark-matter (DM) property by four independent parameters: singlet-doublet Higgs coupling coefficient $lambda$, Higgsino mass $mu_{tot}$, DM mass $m_{tilde{chi}_1^0}$, and singlet Higgs self-coupling coefficient $kappa$. The first three parameters strongly influence the DM-nucleon scattering rate, while $kappa$ usually affects the scattering only slightly. This characteristic implies that singlet-dominated particles may form a secluded DM sector. Under such a theoretical structure, the DM achieves the correct abundance by annihilating into a pair of singlet-dominated Higgs bosons by adjusting $kappa$s value. Its scattering with nucleons is suppressed when $lambda v/mu_{tot}$ is small. This speculation is verified by sophisticated scanning of the theorys parameter space with various experiment constraints considered. In addition, the Bayesian evidence of the general NMSSM and that of $Z_3$-NMSSM is computed. It is found that, at the cost of introducing one additional parameter, the former is approximately $3.3 times 10^3$ times the latter. This result corresponds to Jeffreys scale of 8.05 and implies that the considered experiments strongly prefer the general NMSSM to the $Z_3$-NMSSM.
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