Phase transformations upon delithiation in layered oxides with the NaCrS2 structure type are widely studied for numerous combinations of 3d transition metals because of the application of LiCoO2 and its derivatives as cathode materials in rechargeable Li-ion batteries. However, complete replacement of 3d by 4d transition metals still yields phenomena never seen in compounds containing 3d metals only. In the present work, structural evolution of Li-rich O3-Li(Li0.2Rh0.8)O2, having a mixed occupancy of 20 % Li and 80 % Rh in the metal-oxygen slabs, was studied during electrochemical Li-removal and insertion, and compared with the isostructural stoichiometric LiRhO2. The latter compound undergoes a transformation from the layered NaCrS2 to the tunnel-like rutile-ramsdellite intergrowth structure of the -MnO2 type. Partial replacement of Rh by Li, in contrast, completely prevents this transition, resulting in a reversible cell expansion and shrinkage within the layered structure upon (de)lithiation.Moreover, no anomalously short Rh-O and O-O distances were observed in Lix0(Li0.2Rh0.8)O2 with Rh 4.75+ intermediate valence state at 4.8 V, in contrast to Lix0RhO2 with Rh 4+ at 4.2 V, as confirmed by operando synchrotron XRD and EXAFS studies. We believe that the difference in Li-O and Rh-O covalency is responsible for the observed structural stabilization. The longer and more ionic Li-O bonds in (Li,Rh)O2-layers impede the shortening of oxygen-oxygen distances needed for the transformation to the -MnO2 type, because of a higher negative charge on O-anions connected to Li-cations, and the stronger electrostatic repulsion between them.