  We consider known examples of non-supersymmetric AdS$_7$ and AdS$_4$
solutions arising from compactifications of massive type IIA supergravity and
study their stability, taking into account the coupling between closed- and
open-string sector excitations. Generically, open strings are found to develop
modes with masses below the Breitenlohner-Freedman (BF) bound. We comment on
the relation with the Weak Gravity Conjecture, and how this analysis may play
an important role in examining the validity of non-supersymmetric constructions
in string theory.
