  It has recently been appreciated that the conifold modulus plays an important
role in string-phenomenological set-ups involving warped throats, both by
imposing constraints on model building and for obtaining a 10-dimensional
picture of SUSY-breaking. In this note, we point out that the stability of the
conifold modulus furthermore prevents large super- Planckian axion monodromy
field ranges caused by brane-flux decay processes down warped throats. Our
findings imply a significant challenge for concrete string theory embeddings of
the inflationary flux-unwinding scenario.
