  The dependence of the production of the $X(3872)$ meson on the hadron
multiplicity in $pp$ collisions has been used as evidence against $X$ being a
charm-meson molecule. The argument is based in part on the incorrect assumption
that the cross section for the breakup of $X$ by scattering with comovers can
be approximated by a geometric cross section inversely proportional to the
binding energy of $X$. The breakup cross section should instead be approximated
by the probability-weighted sum of the cross sections for the scattering of
comoving pions from the charm-meson constituents of $X$, which is insensitive
to the binding energy. A simple modification of the comover interaction model
gives excellent fits to the data from the LHCb collaboration on the
multiplicity dependence of the production of $X$ and $\psi(2S)$ using
parameters compatible with $X$ being a loosely bound charm-meson molecule.
