Scaling the magnetic heat capacity in the two manganites, La0.85Ag0.15MnO3 and Sm0.55Sr0.45MnO, gave the critical exponents of the heat capacity α = 0.23 and magnetic-order-parameter correlation radius  = 0.7433, not belonging to any known universality class. High quality of the samples has left no chance to understand these results with the chemical inhomogeneities and/or structure imperfections. It point out that unordinary critical exponents might be caused not only by the chemical disorder and/or structure defects but also by collective lattice behavior. It has been ascertained field-to-doping analogy in 3d-ternary transition-metal oxides: magnetic field, governing lattice distortions through orientating the t2g–orbitals, acts like to chemical doping. It appears scaling equalities are more stable than critical exponents of which they consist. The syncronism of the lattice distortions and ferromagnetism leads to the novel criticality, but their desyncronization induced by magnetostructural disorder causes, in addition, to the violation of the scaling equalities between isothermal and isomagnetic exponents. Although revealing novel criticality, double-exchange systems, however, follow the scaling equalities while the magnetic behavior synchronizes with the coherent lattice behavior – the cooperative Jahn-Teller distortions. The double-exchange bonds breakages introduces metamagnetic clusters with magnetic dipole-dipole interaction between them that desynchronizes lattice distortion and ferromagnetism, scaling equalities violating. The proposed universality class includes such different compounds as manganites, cobaltites, the monocrystalline Fe-Pt and amorphous Fe-Mn alloys and the high-TC superconductor. Novel criticality in double-exchange systems is a consequence of unusual, semiclassical nature of double-exchange ferromagnetism, which arises not due to virtual exchange, as in an ordinary ferromagnet, but due to real exchange - the spin-conserved current of electrons along Mn3+-O-Mn4+ chains. The double-exchange ferromagnetism arises only because electrons to freely itinerate forces the magnetic moments of Mn-cations to look into one and the same direction.