  A low-energy $M1(K=1)$ spin-scissors resonance (SSR) located just below the
ordinary orbital scissors resonance (OSR) was recently predicted in deformed
nuclei within the Wigner Function Moments (WFM) approach. We analyze this
prediction using fully self-consistent Skyrme Quasiparticle Random Phase
Approximation (QRPA) method. The Skyrme forces SkM*, SVbas and SG2 are
implemented to explore SSR and OSR in $^{160,162,164}$Dy and $^{232}$Th. The
calculations show that isotopes $^{160,162,164}$Dy indeed have at 1.5-2.4 MeV
(below OSR)$K^{\pi}=1^+$ states with a large $M1(K=1)$ spin strength. These
states are dominated by $pp[411\uparrow, 411\downarrow]$ and $nn[521\uparrow,
521\downarrow]$ spin-flip configurations corresponding to $pp[2d_{3/2},
2d_{5/2}]$ and $nn[2f_{5/2}, 2f_{7/2}]$ structures in the spherical limit. So
the predicted SSR is actually reduced to low-orbital (l=2,3) spin-flip states.
Moreover, following our analysis and in contradiction with the spin-scissors
treatment of WFM, the deformation is not the principle origin of the low-energy
spin $M1(K=1)$ states but only a factor affecting their features. In
$^{232}$Th, the $M1(K=1)$ spin strength is found very small. The spin and
orbital strengths are generally mixed and exhibit the interference: weak
destructive in SSR range and strong constructive in OSR range. The two groups
of $1^+$ states observed experimentally at 2.4-4 MeV in $^{160,162,164}$Dy and
at 2-4 MeV in $^{232}$Th are rather explained by fragmentation of the orbital
strength than by the occurrence of spin-flip states. The best agreement with
the experimental data is obtained for the force SG2.
