Excitation cross sections of Kr³⁴⁺ ions colliding with various target atoms, (Z_t between 6 and 40) at nu =35 au have been investigated both experimentally and theoretically. The experimental cross sections were obtained from those for production of projectile He-like and H-like Lyman X-rays. The combined experimental and theoretical analysis of H-like emission allowed for a determination of the competitive capture-ionization process, whose contribution to the Lyman production cross sections is important for near-symmetric collision systems and has to be subtracted. A saturation effect of the experimental excitation cross sections with Z_t is analysed from the theoretical point of view through atomic and molecular coupled-state calculations.