Is Z(cs)(3982) a molecular partner of Z(c)(3900) and Z(c)(4020) states?

We perform an effective field theory-based coupled-channel analysis of the recent BES III data on the e(+)e(-) annihilation into the final state K+((Ds-D0)* + D-s*D--(0)) in a wide energy range and extract the poles responsible for the formation of the Z(cs)(3982). We identify two scenarios which provide a similar description of the experimental mass distributions but result in utterly different predictions for the spin partners of the Z(cs)(3982): although both scenarios are consistent with the Zcs as a SU(3) partner of the Z(c)(3900), the Z(c)(4020) appears naturally as a spin partner of these states only in one of them (fit 1) while in the other (fit 2) its nature has to be different. Also, the Z(cs)(3982) has a JP = 1(+) spin partner near the over line D-s*D* threshold in fit 1, while no such state exists in fit 2. We predict the over line D-s*D* invariant mass distribution in the JP = 1(+) channel for the reaction e(+)e(-) -> K+D-s*(-) D-0* and argue that this line shape can be used to distinguish between the two scenarios once data in this channel are available.