  We calculate the leading-order QED radiative corrections to the process $e^-
p\rightarrow e^- p l^- l^+ $ in the soft-photon approximation, in two different
energy regimes which are of relevance to extract nucleon structure information.
In the low-energy region, this process is studied to better constrain the
hadronic corrections to precision muonic Hydrogen spectroscopy. In the
high-energy region, the beam-spin asymmetry for double virtual Compton
scattering allows to directly access the Generalized Parton Distributions. We
find that the soft-photon radiative corrections have a large impact on the
cross sections and are therefore of paramount importance to extract the nucleon
structure information from this process. For the forward-backward asymmetry the
radiative corrections are found to affect the asymmetry only around or below
the 1\% level, whereas the beam-spin asymmetry is not affected at all in the
soft-photon approximation, which makes them gold-plated observables to extract
nucleon structure information in both the low- and high-energy regimes.
