  Recently, the hidden charm tetraquark states $Z_{cs}(3985)$ and
$Z_{cs}(4000)$ with strangeness were observed by the BESIII and LHCb
collaborations, respectively, which are great breakthroughs for exploring
exotic QCD structures. The first and foremost question is whether they are the
same state. In this work, we explore the implications of the narrower state
$Z_{cs}(3985)$ in BESIII and the wider one $Z_{cs}(4000)$ in LHCb as two
different states. Within a solvable nonrelativistic effective field theory, we
include the possible violations of heavy quark spin symmetry and SU(3) flavor
symmetry in a comprehensive approach. If $Z_{cs}(3985)$ and $Z_{cs}(4000)$ are
two different states, our results show that $Z_{cs}(4000)/Z_{cs}(3985)$ is the
pure $(|\bar{D}_s^*D\rangle+/- |\bar{D}_sD^*\rangle)/\sqrt{2}$ state, and the
SU(3) flavor partner of $Z_{c}(3900)$ is $Z_{cs}(4000)$ rather than the
$Z_{cs}(3985)$. Another two important consequences are the existence of a
tensor $\bar{D}_s^*D^*$ resonance with mass about 4126 MeV and width 13 MeV,
and the suppression of the decay mode $Z_{cs}(3985) \to J/\psi K$. The two
consequences can be tested in experiments and distinguish the two-state
interpretation from the one-state scheme.
