De-excitation characteristics of 2s1/2 atomic hole states are poorly known. Measurements are hampered by the fact that the K-L1 radiative decay is dipole-forbidden in the non-relativistic limit, precluding standard coincidence experiments. Calculations call for state-of-the-art approaches. We report results of radiative and radiationless transition rates to L1 vacancy states carried out by two independent methods, i.e., a Dirac-Fock approximation and a second-order relativistic many-body approach. Calculations were performed for the elements Yb and Hg. Comparisons are made with measurements and with other theoretical results. Disagreement between experimental fluorescence yields and between experiment and theory persist even with the present, more advanced, methods.