[en] It is shown that the absence of anisotropies in the Adair distributions for the reaction K^-p→X⁰ Λ at 1.75 GeV/c) (cos THETA sub (c.m.) > 0.6) does not imply pseudoscalarity of the X (958)-meson. Furthermore, an indication of the opposite character of the anisotropies at 1.75 GeV/c (cos THETA sub(c.m.)> 0.6) compared to those at 2.18 GeV/c(cos THETAsub(c.m.>0.98) is interpreted as a new argument in favour of the spin-2 X⁰-meson assignment. More pronounced anisotropies at 1.75 GeV/c can be expected in the interval 0.4 < approximately cos THETA sub(c.m.) < approximately 0.8. The joint distribution of all the X⁰-meson and LAMBDA-decay characteristics has been obtained; the likelihood analysis of this distribution, instead of the one-dimensional Adair analysis, is suggested