  In the known examples of flux vacua with calibrated spacetime-filling sources
(branes or orientifold planes), one can smear the source in order to perform a
standard KK reduction and obtain a lower-dimensional supergravity description.
Furthermore, it is expected that the smeared and localized solution preserve
equal amounts of supersymmetry. In this note we point out that the
$\mathrm{AdS}_7$ solution discussed in arXiv:1111.2605 and arXiv:1309.2949 is a
counterexample to this common lore. The solution is supersymmetric when the
spacetime-filling D6-branes are localized but breaks supersymmetry in the
smeared limit. By using the embedding tensor formalism we demonstrate that
there is no gauged supergravity description for the solution, regardless of the
source being smeared or not. We conjecture that for flux solutions with
separation between the KK scale and the AdS radius this cannot occur.
