  We revisit the "sequester" proposal of Kaloper, Padilla and collaborators, in
which the amplitude of the cosmological constant is decoupled from large
contributions due to loops containing Standard Model particles. We review the
different formulations of the model that have appeared in the literature, and
estimate the importance of a particular class of quantum corrections-those that
dress the interaction between the "rigid" scalars and infrared properties of
the spacetime such as its 4-volume and integrated curvature. In formulations
that do not adequately sequester graviton loops we argue that dressing of these
interactions causes further failures of complete sequestration. We estimate the
size of the effect and find that it is typically smaller than the cosmological
term directly induced by loops containing a single virtual graviton. Meanwhile,
in the most developed formulation of the scenario (where a rigid scalar couples
to the Gauss-Bonnet density), this dressing can be absorbed into a rescaling of
the rigid fields and is therefore harmless.
