  We conduct an exhaustive study of the interior geometry of a family of
asymptotically AdS$_{d+1}$ hairy black holes in an analytically controllable
setup. The black holes are exact solutions to an Einstein-Maxwell-Dilaton
theory and include the well-known Gubser-Rocha model. After reviewing the
setup, we scrutinize the geometry beyond the horizon, finding that these
backgrounds can exhibit timelike or Kasner singularities. We generalize the no
inner-horizon theorem for hairy black holes to accommodate these findings. We
then consider observables sensitive to the geometry behind the horizon, such as
Complexity = Anything and the thermal $a$-function. In the Kasner case, we
propose a new variant of complexity that characterizes the late-time rate by
the Kasner exponents, extending previous work by J{\o}rstad, Myers and Ruan.
Additionally, we elucidate the power-law behavior of the thermal $a$-function
near the singularity, directly relating it to the Kasner exponents. Finally, we
introduce axion-like fields in the Gubser-Rocha model to study the impact of
translational symmetry breaking on the black hole interior. We show that Kasner
singularities occur for both explicit and spontaneous symmetry breaking, with
the Kasner exponents depending on the strength of broken translations only in
the latter case.
