  Models of inelastic (or pseudo-Dirac) dark matter commonly assume an
accidental symmetry between the left-handed and right-handed mass terms in
order to suppress diagonal couplings. We point out that this symmetry is
unnecessary, because for Majorana fermions the diagonal couplings are not
strongly constrained. Removing the requirement of such an ad-hoc symmetry
instead relaxes the relic density constraint due to additional annihilation
modes. We consider a simple UV-complete model realising this setup and study
constraints from (in)direct detection, beam dump experiments and colliders. We
identify two viable mass regions for the dark matter mass, around a few hundred
MeV and around a few GeV, respectively. The former region will be fully tested
by near-future analyses of NA64 and Belle II data, while the latter turns out
to be challenging to explore even with future experiments.
