The ortho-positronium, o-Ps, quenching reactions promoted by (NH4)2(Ce(NO3)6) and (Gd(H2O)6)Cl3 were studied in aqueous solutions at 278, 288, 298 and 308 K. The results obtained, together with those reported in a previous paper of the authors', suggest that the effective reaction radii of 3d and 4f complexes in o-Ps quenching reactions depend on the reaction types. In particular, the effective reaction radii are longer for o-Ps oxidation (Ox) reactions (Ce4+, Fe3+, CrO2-4) than for Ps spin-exchange (SE) reactions (Gd3+, Fe2+, Cr3+). As a consequence it is suggested that the Ox reactions occur by 'hopping mechanism', so that effective and crystallographic radii of these ions in Ox reactions are practically equal even if the Ps electron orbital and metal-accepting orbital do not significantly overlap at their closest distance. On the other hand the effective reaction radii of SE reactions, shorter than the crystallographic ones, seem to imply that the magnetic interaction promoting the SE reactions studied here occurs between distant localised electrons. The results are discussed with reference to the Smoluchowski equation which relates the rate constants of diffusion-controlled reactions to reactant radii.