Recent LHCb's amplitude analysis on B + → J/ψφK + suggests the existence of exotic X and Zcs hadrons, based on an assumption that Breit-Wigner resonances describe all the peak structures. However, all the peaks and also dips in the spectra are located at relevant meson-meson thresholds where threshold kinematical cusps might cause such structures. This points to the importance of an independent amplitude analysis with due consideration of the kinematical effects, and this is what we do in this work. Our model fits well J/ψφ, J/ψK + , and K + φ invariant mass distributions simultaneously, demonstrating that all the X, Zcs, and dip structures can be well described with the ordinary s-wave threshold cusps. Spin-parity of the X(4274) and X(4500) structures are respectively 0 − and 1 − from our model, as opposed to 1 + and 0 + from the LHCb's. Our model has 29 fitting parameters which is about one-fifth of the LHCb's, which might indicate the importance of considering all relevant threshold cusps. The LHCb data requires D ( * ) s D * scattering lengths in our model to be consistent with zero, disfavoring D ( * ) s D * molecule interpretations of Zcs(4000) and Zcs(4220) and, via the SU(3) relation, being consistent with previous Lattice QCD results.Introduction.-Recent experimental developments resulted in many discoveries of new hadrons that are not categorized into the conventional qqq and q q structures. Countless theoretical papers followed to understand the nature of such exotic hadrons often called XY Z, thereby deepening our knowledge of QCD in the nonperturbative regime; see reviews [1][2][3]. Hadron properties such as mass, width, and spin-parity (J P ) are crucial information to address the hadrons' nature and structures, and amplitude analysis is the method to extract those information from data. However, amplitude analysis results are often neither unique nor model-independent for assumptions and simplifications that go into the analysis. It is therefore important to bring different and independent analysis results together to establish the hadron properties through critical reviews and comparisons.The B + → J/ψφK + decay 12 is an interesting case. Earlier analyses [5][6][7][8][9][10][11][12] fitted structures in the J/ψφ invariant mass (M J/ψφ ) distribution with Breit-Wigner amplitudes, and claimed exotic X(4140) and X(4274) hadrons. Being the one-dimensional analyses, a J P determination was beyond the scope. A first six-dimensional amplitude analysis was done by the LHCb Collaboration [13,14], and four X states with J P were reported: X(4140) and X(4274) with J P = 1 + ; X(4500) and X(4700) with J P = 0 + . These X states were confirmed with higher statistics data recently, 1 The charge conjugate decays are implied throughout. 2 We follow the hadron naming scheme in Ref. [4]. We often denote J/ψ and ψ(2S) by ψ and ψ , respectively, for simplicity. D * s0 (2317) and D s1 (2536) are generically denoted by D ( * )sJ . We often suppress charge indices.