  $\kappa$-Poincar\'e invariant gauge theories on $\kappa$-Minkowski
space-time, which are noncommutative analogs of the usual $U(1)$ gauge theory,
exist only in five dimensions. These are built from noncommutative twisted
connections on a hermitian right module over the algebra coding the
$\kappa$-Minkowski space-time. We show that twisting the action of this algebra
on the hermitian module, assumed to be a copy of it, affects neither the value
of the above dimension nor the noncommutative gauge group defined as the
unitary automorphisms of the module leaving the hermitian structure unchanged.
Only the hermiticity condition obeyed by the gauge potential becomes twisted.
Similarities between the present framework and algebraic features of twisted
spectral triples are exhibited.
