The general NMSSM describes the Singlino-dominated DM's property by four independent parameters: singlet-doublet Higgs coupling coefficient λ, Higgsino mass µ tot , DM mass m χ0 1 , and singlet Higgs self-coupling coefficient κ. We show by analytic formulae that the first three parameters strongly influence the DM-nucleon scattering rate, while κ usually affects little the scattering. 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 through adjusting κ's value. Its scattering with nucleon is suppressed when λv/µ tot is small. We verify this speculation by sophistically scanning the theory's parameter space with various experiment constraints considered. Besides, we compute the Bayesian evidence of the general NMSSM and that of Z 3 -NMSSM. We find that, at the cost of introducing one additional parameter, the former is about 3.3 × 10 3 times the latter. This result corresponds to Jeffrey's scale of 8.05. It implies that the considered experiments strongly prefer the general NMSSM to the Z 3 -NMSSM.