  By means of dynamical mean-field theory allowing for complete account of
SU(2) rotational symmetry of interactions between spin-1/2 particles, we
observe a strong effect of suppression of ferromagnetic order in the
multiorbital Fermi-Hubbard model in comparison with a widely used restriction
to density-density interactions. In the case of orbital degeneracy, we show
that the suppression effect is the strongest in the two-orbital model (with
effective spin $S_{\rm eff}=1$) and significantly decreases when considering
three orbitals ($S_{\rm eff}=3/2$), thus magnetic ordering can effectively
revive for the same range of parameters, in agreement with arguments based on
vanishing of quantum fluctuations in the limit of classical spins ($S_{\rm
eff}\to\infty$). We analyze a connection to the double-exchange model and
observe high importance of spin-flip processes there as well.
