Again, claiming that something living is neutral is hardly accurate. You can't look at the few electrons that might move and not the millions of others inside the bird and claim a few electrons make it negative. There is an equilibrium and living creatures are pretty darn good at maintaining that equilibrium through various processes.
All this to say, yes, small amounts of electrons might move one way or another, but that doesn't make any discernable difference when the equilibrium we are taking about contains many times more electrons than the few that move.
All this to say, yes, small amounts of electrons might move one way or another, but that doesn't make any discernable difference when the equilibrium we are taking about contains many times more electrons than the few that move.