  Having in mind the well-known limitations of certain models of generalized
parton distributions (GPDs), we show that the allegedly universal GPDs,
describing both deeply virtual Compton scattering (DVCS) and deeply virtual
meson production (DVMP) data, fail to describe measurements of deep inelastic
scattering. We present a new global DVCS fit that describes reasonably the
world data set, which includes now also new measurements from Hall A and CLAS
collaborations. We also explicitly illustrate that Compton form factors (CFFs)
cannot be unambiguously extracted from photon electroproduction measurements
off unpolarized proton alone and we argue that it is more reliable to interpret
such measurements in terms of certain CFF combinations, where still some care
is needed in order to estimate the propagated error.
