  QCD interactions for equal-mass fermion flavors are flavor blind. This fact
is often used to state that disconnected sea-quark loop contributions are equal
for $u$ and $d$ quarks in the mass symmetric case and therefore these
disconnected sea-quark loop contributions cannot contribute to the well-known
$\bar d - \bar u$ asymmetry in the proton. Instead, it is argued that one must
look to the connected sector of lattice QCD correlation functions to find this
difference. In this presentation, we note that these statements are true
provided unphysical contributions in the sea-quark loop sector are included,
contributions from baryons that do not appear in the physical spectrum. To
respect the Pauli principle, these unphysical contributions from the
disconnected sea-quark loop sector must cancel equally unphysical contributions
in the connected sector. The remaining disconnected sea-quark loop
contributions no longer have a balance between $\bar d$ and $\bar u$. Upon
considering only physically observed baryons in the loop contributions, we
illustrate an important contribution from the sea-quark loop sector to $\bar d
- \bar u$ that enhances the leading connected contribution by 12\%.
