  In unconstrained thermal equilibrium a local potential for total or fermionic
hypercharge does not bias electroweak anomalous processes. We consider two
proposed mechanisms for electroweak baryogenesis in this light. In
`spontaneous' baryogenesis, which was argued to apply in the `adiabatic' limit
of thick, slow walls, a non-zero result was obtained by setting globally
conserved charges to be zero {\it locally}. We show that this is a poor
approximation unless the walls are very thick. For more realistic wall
thicknesses the local equilibrium approached as the wall velocity
$v_w\rightarrow 0$ has zero baryon number violation and nonzero global charges
on the wall. In the `charge transport' mechanism, argued to apply to the case
of thin fast walls, calculations of the magnitude of the asymmetry also involve
the same error. In corrected calculations the local values of global charges
should be determined dynamically rather than fixed locally to zero.
