  In a recent paper [arXiv:1502.06856] the authors studied numerically the
hydrogen ground state in stochastic electrodynamics (SED) within the the
non-relativistic approximation. In quantum theory the leading non-relativistic
corrections to the ground state energy dominate the Lamb shift related to the
photon cloud that should cause the quantum-like behaviour of SED. The present
work takes these corrections into account in the numerical modelling. It is
found that they have little effect; the self-ionisation that occurs without
them remains present. It is speculated that the point-charge approximation for
the electron is the cause of the failure.
