  We show that the results of [BM97, DeB02b, Oka, Lus85, AA07, Tay16] imply a
positive answer to the question of Moeglin-Waldspurger on wave-front sets in
the case of depth zero cuspidal representations. Namely, we deduce that for
large enough residue characteristic, the Zariski closure of the wave-front set
of any depth zero irreducible cuspidal representation of any reductive group
over a non-Archimedean local field is an irreducible variety.
  In more details, we use [BM97, DeB02b, Oka] to reduce the statement to an
analogous statement for finite groups of Lie type, which is proven in [Lus85,
AA07, Tay16].
